The enterprise-security division of Qihoo 360, one of China's leading suppliers of anti-virus software, said 29,372 institutions ranging from government offices to universities, ATMs and hospitals had been "infected" by the outbreak as of late Saturday.
In a statement dated Sunday, Qihoo 360 said the ransomware had spread particularly quickly through higher education, affecting more than 4,000 Chinese universities and research institutions.
It gave few details on the extent of any damage, however, and China's government has said little about the situation.
The indiscriminate attack began Friday and struck banks, hospitals and government agencies around the world, exploiting known vulnerabilities in older Microsoft computer operating systems.
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Chinese state media today quoted the official Cyberspace Administration of China as saying the attack is still spreading in the country, but had slowed significantly.
It warned computer users to install and upgrade security software as a precaution.
By late yesterday, around 80 per cent of its network was back online, PetroChina said.
Japanese media reported that 2,000 computers at 600 companies and organisations in the country had been affected, citing the Japan Computer Emergency Response Team Coordination Center.
A spokesman for Japanese conglomerate Hitachi said on Monday that the company's computer networks were "unstable", crippling its email systems.
"We found the problems this morning. We assume that the problems are due to the weekend's global cyberattacks. We have not received any reports of damage to our production. We don't know when the problem can be solved," said the spokesman, who spoke on condition of anonymity.
"Please beware and take preventive steps against the malware attack," said Indonesia's information minister Rudiantara who, like many Indonesians, goes by one name.
Rudiantara was speaking to reporters following reports that records and billing systems in at least one Indonesian hospital had been crippled.
Chinese state media have reported that police departments in some major cities had suspended some non-emergency services, though it was not clear whether the ransomware threat was to blame in all cases.
Dozens of Chinese universities have issued alerts about the attack and advised students to disable their internet connections before turning on their computers.
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