It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 644 679 is not a prime number.
For example, 644 679 can be divided by 3: 644 679 / 3 = 214 893.
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For 644 679 to be a prime number, it would have been required that 644 679 has only two divisors, i.e., itself and 1.
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644 679 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 644 679 is about 802.919.
Thus, the square root of 644 679 is not an integer, and therefore 644 679 is not a square number.
The square of a number (here 644 679) is the result of the product of this number (644 679) by itself (i.e., 644 679 × 644 679); the square of 644 679 is sometimes called "raising 644 679 to the power 2", or "644 679 squared".
The square of 644 679 is 415 611 013 041 because 644 679 × 644 679 = 644 6792 = 415 611 013 041.
As a consequence, 644 679 is the square root of 415 611 013 041.
The multiples of 644 679 are all integers evenly divisible by 644 679, that is all numbers such that the remainder of the division by 644 679 is zero. There are infinitely many multiples of 644 679. The smallest multiples of 644 679 are: