330993400596768 has 1152 divisors, whose sum is σ = 1237216873052160. Its totient is φ = 81451631738880.

The previous prime is 330993400596739. The next prime is 330993400596779. The reversal of 330993400596768 is 867695004399033.

It is a happy number.

330993400596768 is a `hidden beast` number, since 3 + 30 + 99 + 340 + 0 + 59 + 67 + 68 = 666.

It is a super-2 number, since 2×330993400596768² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 330993400596696 and 330993400596705.

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, 76283335143 + ... + 76283339481.

It is an arithmetic number, because the mean of its divisors is an integer number (1073972980080).

Almost surely, 2^{330993400596768} 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 330993400596768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618608436526080).

330993400596768 is an abundant number, since it is smaller than the sum of its proper divisors (906223472455392).

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

330993400596768 is a wasteful number, since it uses less digits than its factorization.

330993400596768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 793618560, while the sum is 72.

The spelling of 330993400596768 in words is "three hundred thirty trillion, nine hundred ninety-three billion, four hundred million, five hundred ninety-six thousand, seven hundred sixty-eight".