7600
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7642 rounded to the nearest hundred would be 7600. When rounding a number to the nearest hundred, you look at the digit in the hundreds place (6 in this case) and determine if the digit in the tens place (4 in this case) is 5 or greater. Since 4 is less than 5, the hundreds digit remains the same and the tens and ones digits become zeros.
Well, let's take a moment to appreciate the number 7642. When we round it to the nearest hundred, it becomes 7600. Every number has its own unique beauty, don't you think?