331760867328 has 288 divisors, whose sum is σ = 1090757041920. Its totient is φ = 96161218560.

The previous prime is 331760867287. The next prime is 331760867381. The reversal of 331760867328 is 823768067133.

331760867328 is a `hidden beast` number, since 3 + 3 + 1 + 7 + 608 + 6 + 7 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×331760867328² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4627725 + ... + 4698867.

It is an arithmetic number, because the mean of its divisors is an integer number (3787350840).

Almost surely, 2^331760867328 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 331760867328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545378520960).

331760867328 is an abundant number, since it is smaller than the sum of its proper divisors (758996174592).

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

331760867328 is a wasteful number, since it uses less digits than its factorization.

331760867328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71205 (or 71182 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 331760867328 in words is "three hundred thirty-one billion, seven hundred sixty million, eight hundred sixty-seven thousand, three hundred twenty-eight".