Tributes for Apple 'visionary' Steve Jobs
US President Barack Obama and Russian counterpart Dmitry Medvedev said Mr Jobs had changed the world.
Microsoft's Bill Gates said it had been "an insanely great honour" to work with him. Facebook founder Mark Zuckerberg remembered his "mentor and friend".
The Twitter microblog site struggled to cope with the traffic of tributes.
Apple itself said Mr Jobs had been "the source of countless innovations that enrich and improve all of our lives" and had made the world "immeasurably better".
Thousands of celebrities and ordinary people went on Facebook, Twitter and YouTube to record their tributes and memories of the man behind products such as the iPod, the iPhone, the iPad.
The death of Mr Jobs could create a record for Twitter traffic.
Thousands of people all over the world have also been attending Apple stores to leave flowers, notes, and apples with a bite taken from them to mimic the company's logo.
Apple's leading rivals such as Microsoft, Google, Sony and Samsung all chipped in with glowing tributes.
GS Choi, chief executive of Samsung, which is embroiled in a major court battle with Apple on patents, said Mr Jobs was an "innovative spirit" who "introduced numerous revolutionary changes to the information technology industry".
In his statement, Bill Gates said: "The world rarely sees someone who has had the profound impact Steve has had, the effects of which will be felt for many generations to come. For those of us lucky enough to get to work with him, it's been an insanely great honour."
Mr Zuckerberg wrote on Facebook: "Steve, thank you for being a mentor and a friend. Thanks for showing that what you build can change the world. I will miss you."
His comments were "liked" by more than 200,000 people within hours; Kazinform cites BBC.
To learn more go to www.bbc.co.uk