It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 7 627 463 is not a prime number.
For example, 7 627 463 can be divided by 151: 7 627 463 / 151 = 50 513.
For 7 627 463 to be a prime number, it would have been required that 7 627 463 has only two divisors, i.e., itself and 1.
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7 627 463 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 7 627 463 is about 2 761.786.
Thus, the square root of 7 627 463 is not an integer, and therefore 7 627 463 is not a square number.
The square of a number (here 7 627 463) is the result of the product of this number (7 627 463) by itself (i.e., 7 627 463 × 7 627 463); the square of 7 627 463 is sometimes called "raising 7 627 463 to the power 2", or "7 627 463 squared".
The square of 7 627 463 is 58 178 191 816 369 because 7 627 463 × 7 627 463 = 7 627 4632 = 58 178 191 816 369.
As a consequence, 7 627 463 is the square root of 58 178 191 816 369.
The multiples of 7 627 463 are all integers evenly divisible by 7 627 463, that is all numbers such that the remainder of the division by 7 627 463 is zero. There are infinitely many multiples of 7 627 463. The smallest multiples of 7 627 463 are: