As Apple Inc.'s stock rose to new high of $663.23 per share today, the technology giant set another record: It became the most valuable public company in history, CNNMoney reported. Apple's market value -- the price of its stock multiplied by the number of outstanding shares -- hit $622 billion in intraday trading, eclipsing the previous record of $618.9 billion set by Microsoft Corp. on Dec. 30, 1999, at the height of the dot-com bubble.