332430768768 has 512 divisors, whose sum is σ = 1094644938240. Its totient is φ = 87227891712.

The previous prime is 332430768763. The next prime is 332430768823. The reversal of 332430768768 is 867867034233.

It is a super-2 number, since 2×332430768768² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332430768763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 767738280 + ... + 767738712.

It is an arithmetic number, because the mean of its divisors is an integer number (2137978395).

Almost surely, 2^332430768768 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 332430768768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547322469120).

332430768768 is an abundant number, since it is smaller than the sum of its proper divisors (762214169472).

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

332430768768 is a wasteful number, since it uses less digits than its factorization.

332430768768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 57.

The spelling of 332430768768 in words is "three hundred thirty-two billion, four hundred thirty million, seven hundred sixty-eight thousand, seven hundred sixty-eight".