10204056632664 has 128 divisors (see below), whose sum is σ = 29353924800000. Its totient is φ = 3280488833664.

The previous prime is 10204056632639. The next prime is 10204056632711. The reversal of 10204056632664 is 46623665040201.

It is a happy number.

10204056632664 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 0 + 5 + 6 + 632 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×10204056632664² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4870327 + ... + 6642905.

It is an arithmetic number, because the mean of its divisors is an integer number (229327537500).

Almost surely, 2^{10204056632664} 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 10204056632664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676962400000).

10204056632664 is an abundant number, since it is smaller than the sum of its proper divisors (19149868167336).

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

10204056632664 is a wasteful number, since it uses less digits than its factorization.

10204056632664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773542 (or 1773532 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 10204056632664 in words is "ten trillion, two hundred four billion, fifty-six million, six hundred thirty-two thousand, six hundred sixty-four".