It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 6 697 627 is not a prime number.
For example, 6 697 627 can be divided by 1 741: 6 697 627 / 1741 = 3 847.
For 6 697 627 to be a prime number, it would have been required that 6 697 627 has only two divisors, i.e., itself and 1.
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6 697 627 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 6 697 627 is about 2 587.977.
Thus, the square root of 6 697 627 is not an integer, and therefore 6 697 627 is not a square number.
The square of a number (here 6 697 627) is the result of the product of this number (6 697 627) by itself (i.e., 6 697 627 × 6 697 627); the square of 6 697 627 is sometimes called "raising 6 697 627 to the power 2", or "6 697 627 squared".
The square of 6 697 627 is 44 858 207 431 129 because 6 697 627 × 6 697 627 = 6 697 6272 = 44 858 207 431 129.
As a consequence, 6 697 627 is the square root of 44 858 207 431 129.
The multiples of 6 697 627 are all integers evenly divisible by 6 697 627, that is all numbers such that the remainder of the division by 6 697 627 is zero. There are infinitely many multiples of 6 697 627. The smallest multiples of 6 697 627 are: