63312624400 has 135 divisors (see below), whose sum is σ = 159300761781. Its totient is φ = 24179675520.

The previous prime is 63312624379. The next prime is 63312624409. The reversal of 63312624400 is 442621336.

The square root of 63312624400 is 251620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 22792544784 + 40520079616 = 150972^2 + 201296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63312624409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 115744927 + ... + 115745473.

Almost surely, 2^63312624400 is an apocalyptic number.

63312624400 is the 251620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63312624400

63312624400 is an abundant number, since it is smaller than the sum of its proper divisors (95988137381).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63312624400 is an equidigital number, since it uses as much as digits as its factorization.

63312624400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 63312624400 in words is "sixty-three billion, three hundred twelve million, six hundred twenty-four thousand, four hundred".