321905966604960 has 192 divisors, whose sum is σ = 1063573259712768. Its totient is φ = 81683910426624.

The previous prime is 321905966604947. The next prime is 321905966604973. The reversal of 321905966604960 is 69406669509123.

It is an interprime number because it is at equal distance from previous prime (321905966604947) and next prime (321905966604973).

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 321905966604891 and 321905966604900.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 73408527 + ... + 77669966.

It is an arithmetic number, because the mean of its divisors is an integer number (5539444061004).

Almost surely, 2^{321905966604960} is an apocalyptic number.

321905966604960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321905966604960 is an abundant number, since it is smaller than the sum of its proper divisors (741667293107808).

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

321905966604960 is a wasteful number, since it uses less digits than its factorization.

321905966604960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151078727 (or 151078719 counting only the distinct ones).

The product of its (nonzero) digits is 113374080, while the sum is 66.

The spelling of 321905966604960 in words is "three hundred twenty-one trillion, nine hundred five billion, nine hundred sixty-six million, six hundred four thousand, nine hundred sixty".