10632594816 has 256 divisors, whose sum is σ = 32160844800. Its totient is φ = 3457382400.

The previous prime is 10632594803. The next prime is 10632594839. The reversal of 10632594816 is 61849523601.

10632594816 is a `hidden beast` number, since 1 + 0 + 632 + 5 + 9 + 4 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×10632594816² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28971465 + ... + 28971831.

It is an arithmetic number, because the mean of its divisors is an integer number (125628300).

Almost surely, 2^10632594816 is an apocalyptic number.

10632594816 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 10632594816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16080422400).

10632594816 is an abundant number, since it is smaller than the sum of its proper divisors (21528249984).

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

10632594816 is a wasteful number, since it uses less digits than its factorization.

10632594816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10632594816 in words is "ten billion, six hundred thirty-two million, five hundred ninety-four thousand, eight hundred sixteen".