321745982376960 has 264 divisors, whose sum is σ = 1163312821363680. Its totient is φ = 82068540162048.

The previous prime is 321745982376913. The next prime is 321745982376961. The reversal of 321745982376960 is 69673289547123.

It is a happy number.

321745982376960 is a `hidden beast` number, since 3 + 2 + 1 + 7 + 4 + 598 + 23 + 7 + 6 + 9 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (321745982376961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150730045 + ... + 152849724.

It is a 1-persistent number, because it is pandigital, but 2⋅321745982376960 = 643491964753920 is not.

Almost surely, 2^{321745982376960} is an apocalyptic number.

321745982376960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321745982376960 is an abundant number, since it is smaller than the sum of its proper divisors (841566838986720).

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

321745982376960 is a wasteful number, since it uses less digits than its factorization.

321745982376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303579823 (or 303579802 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 321745982376960 in words is "three hundred twenty-one trillion, seven hundred forty-five billion, nine hundred eighty-two million, three hundred seventy-six thousand, nine hundred sixty".