332053032960 has 1040 divisors, whose sum is σ = 1342709609472. Its totient is φ = 77768294400.

The previous prime is 332053032937. The next prime is 332053033007. The reversal of 332053032960 is 69230350233.

332053032960 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 530 + 32 + 96 + 0 = 666.

It is a super-2 number, since 2×332053032960² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 79 ways as a sum of consecutive naturals, for example, 565677787 + ... + 565678373.

Almost surely, 2^332053032960 is an apocalyptic number.

332053032960 is a gapful number since it is divisible by the number (30) 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 332053032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671354804736).

332053032960 is an abundant number, since it is smaller than the sum of its proper divisors (1010656576512).

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

332053032960 is a wasteful number, since it uses less digits than its factorization.

332053032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 36.

The spelling of 332053032960 in words is "three hundred thirty-two billion, fifty-three million, thirty-two thousand, nine hundred sixty".