It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 6 644 501 is not a prime number.
For example, 6 644 501 can be divided by 17: 6 644 501 / 17 = 390 853.
For 6 644 501 to be a prime number, it would have been required that 6 644 501 has only two divisors, i.e., itself and 1.
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6 644 501 is an odd number, because it is not evenly divisible by 2.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 6 644 501 is about 2 577.693.
Thus, the square root of 6 644 501 is not an integer, and therefore 6 644 501 is not a square number.
The square of a number (here 6 644 501) is the result of the product of this number (6 644 501) by itself (i.e., 6 644 501 × 6 644 501); the square of 6 644 501 is sometimes called "raising 6 644 501 to the power 2", or "6 644 501 squared".
The square of 6 644 501 is 44 149 393 539 001 because 6 644 501 × 6 644 501 = 6 644 5012 = 44 149 393 539 001.
As a consequence, 6 644 501 is the square root of 44 149 393 539 001.
The multiples of 6 644 501 are all integers evenly divisible by 6 644 501, that is all numbers such that the remainder of the division by 6 644 501 is zero. There are infinitely many multiples of 6 644 501. The smallest multiples of 6 644 501 are: