332974888555680 has 960 divisors, whose sum is σ = 1387575458260992. Its totient is φ = 73586798714880.

The previous prime is 332974888555643. The next prime is 332974888555691. The reversal of 332974888555680 is 86555888479233.

332974888555680 is a `hidden beast` number, since 3 + 3 + 2 + 9 + 7 + 48 + 8 + 8 + 5 + 5 + 568 + 0 = 666.

It is a super-2 number, since 2×332974888555680² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 332974888555680.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3141308442 + ... + 3141414438.

Almost surely, 2^{332974888555680} is an apocalyptic number.

332974888555680 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 332974888555680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693787729130496).

332974888555680 is an abundant number, since it is smaller than the sum of its proper divisors (1054600569705312).

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

332974888555680 is a wasteful number, since it uses less digits than its factorization.

332974888555680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107179 (or 107162 counting only the distinct ones).

The product of its (nonzero) digits is 13934592000, while the sum is 81.

The spelling of 332974888555680 in words is "three hundred thirty-two trillion, nine hundred seventy-four billion, eight hundred eighty-eight million, five hundred fifty-five thousand, six hundred eighty".