It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 7 638 412 is not a prime number.
For example, 7 638 412 can be divided by 2: 7 638 412 / 2 = 3 819 206.
For 7 638 412 to be a prime number, it would have been required that 7 638 412 has only two divisors, i.e., itself and 1.
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7 638 412 is an even number, because it is evenly divisible by 2: 7 638 412 / 2 = 3 819 206.
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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 7 638 412 is about 2 763.768.
Thus, the square root of 7 638 412 is not an integer, and therefore 7 638 412 is not a square number.
The square of a number (here 7 638 412) is the result of the product of this number (7 638 412) by itself (i.e., 7 638 412 × 7 638 412); the square of 7 638 412 is sometimes called "raising 7 638 412 to the power 2", or "7 638 412 squared".
The square of 7 638 412 is 58 345 337 881 744 because 7 638 412 × 7 638 412 = 7 638 4122 = 58 345 337 881 744.
As a consequence, 7 638 412 is the square root of 58 345 337 881 744.
The multiples of 7 638 412 are all integers evenly divisible by 7 638 412, that is all numbers such that the remainder of the division by 7 638 412 is zero. There are infinitely many multiples of 7 638 412. The smallest multiples of 7 638 412 are: