Apple overtakes Microsoft as most valuable stock of all time

With Monday's run, its market capitalization clears $623 billion

FORTUNE -- Apple's (AAPL) share price went on a tear Monday, gaining more than $16 a share to hit $664.74 in late morning trading.

With 937.41 million shares outstanding, that put its market cap at better than $623 billion -- an all time record for a publicly trading company.

The...

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