10634032656 has 120 divisors (see below), whose sum is σ = 32916217880. Its totient is φ = 3183556608.

The previous prime is 10634032571. The next prime is 10634032687. The reversal of 10634032656 is 65623043601.

10634032656 is a `hidden beast` number, since 10 + 634 + 0 + 3 + 2 + 6 + 5 + 6 = 666.

10634032656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2501600256 + 8132432400 = 50016^2 + 90180^2 .

It is a super-2 number, since 2×10634032656² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10634032656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7501 + ... + 146028.

Almost surely, 2^10634032656 is an apocalyptic number.

10634032656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10634032656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16458108940).

10634032656 is an abundant number, since it is smaller than the sum of its proper divisors (22282185224).

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

10634032656 is a wasteful number, since it uses less digits than its factorization.

10634032656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153593 (or 153584 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 10634032656 in words is "ten billion, six hundred thirty-four million, thirty-two thousand, six hundred fifty-six".