10638756432 has 50 divisors (see below), whose sum is σ = 30791651418. Its totient is φ = 3546251712.

The previous prime is 10638756307. The next prime is 10638756433. The reversal of 10638756432 is 23465783601.

10638756432 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 87 + 564 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10445657616 + 193098816 = 102204^2 + 13896^2 .

It is a super-3 number, since 3×10638756432³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10638756433) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4103163 + ... + 4105754.

Almost surely, 2^10638756432 is an apocalyptic number.

10638756432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10638756432 is an abundant number, since it is smaller than the sum of its proper divisors (20152894986).

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

10638756432 is an equidigital number, since it uses as much as digits as its factorization.

10638756432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8208937 (or 8208922 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 10638756432 in words is "ten billion, six hundred thirty-eight million, seven hundred fifty-six thousand, four hundred thirty-two".