63125762688 has 96 divisors (see below), whose sum is σ = 181817287860. Its totient is φ = 21022654464.

The previous prime is 63125762663. The next prime is 63125762729. The reversal of 63125762688 is 88626752136.

63125762688 is a `hidden beast` number, since 6 + 3 + 1 + 2 + 5 + 7 + 626 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62264222784 + 861539904 = 249528^2 + 29352^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1262256 + ... + 1311312.

Almost surely, 2^63125762688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63125762688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90908643930).

63125762688 is an abundant number, since it is smaller than the sum of its proper divisors (118691525172).

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

63125762688 is a wasteful number, since it uses less digits than its factorization.

63125762688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50194 (or 50179 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 63125762688 in words is "sixty-three billion, one hundred twenty-five million, seven hundred sixty-two thousand, six hundred eighty-eight".