10640536128 has 84 divisors (see below), whose sum is σ = 30795455808. Its totient is φ = 3512390400.

The previous prime is 10640536051. The next prime is 10640536129. The reversal of 10640536128 is 82163504601.

It is a happy number.

10640536128 is a `hidden beast` number, since 1 + 0 + 640 + 5 + 3 + 6 + 1 + 2 + 8 = 666.

It is a super-2 number, since 2×10640536128² (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 junction number, because it is equal to n+sod(n) for n = 10640536092 and 10640536101.

It is not an unprimeable number, because it can be changed into a prime (10640536129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30348 + ... + 149003.

Almost surely, 2^10640536128 is an apocalyptic number.

10640536128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10640536128 is an abundant number, since it is smaller than the sum of its proper divisors (20154919680).

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

10640536128 is a wasteful number, since it uses less digits than its factorization.

10640536128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179472 (or 179459 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10640536128 in words is "ten billion, six hundred forty million, five hundred thirty-six thousand, one hundred twenty-eight".