330980332032 has 640 divisors, whose sum is σ = 1213379481600. Its totient is φ = 86914695168.

The previous prime is 330980331967. The next prime is 330980332061. The reversal of 330980332032 is 230233089033.

330980332032 is a `hidden beast` number, since 330 + 98 + 0 + 33 + 203 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 70735069 + ... + 70739747.

It is an arithmetic number, because the mean of its divisors is an integer number (1895905440).

Almost surely, 2^330980332032 is an apocalyptic number.

330980332032 is a gapful number since it is divisible by the number (32) 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 330980332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606689740800).

330980332032 is an abundant number, since it is smaller than the sum of its proper divisors (882399149568).

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

330980332032 is a wasteful number, since it uses less digits than its factorization.

330980332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 330980332032 in words is "three hundred thirty billion, nine hundred eighty million, three hundred thirty-two thousand, thirty-two".