332213736960 has 1920 divisors, whose sum is σ = 1482529112064. Its totient is φ = 69633146880.

The previous prime is 332213736919. The next prime is 332213736971. The reversal of 332213736960 is 69637312233.

332213736960 is a `hidden beast` number, since 3 + 3 + 221 + 3 + 7 + 369 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×332213736960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3104801227 + ... + 3104801333.

Almost surely, 2^332213736960 is an apocalyptic number.

332213736960 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 332213736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741264556032).

332213736960 is an abundant number, since it is smaller than the sum of its proper divisors (1150315375104).

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

332213736960 is a wasteful number, since it uses less digits than its factorization.

332213736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 332213736960 in words is "three hundred thirty-two billion, two hundred thirteen million, seven hundred thirty-six thousand, nine hundred sixty".