321672625344 has 756 divisors, whose sum is σ = 1145344677048. Its totient is φ = 86046105600.

The previous prime is 321672625333. The next prime is 321672625369. The reversal of 321672625344 is 443526276123.

321672625344 is a `hidden beast` number, since 3 + 2 + 16 + 7 + 2 + 625 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×321672625344² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 321672625344.

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 107 ways as a sum of consecutive naturals, for example, 1334741064 + ... + 1334741304.

Almost surely, 2^321672625344 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 321672625344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572672338524).

321672625344 is an abundant number, since it is smaller than the sum of its proper divisors (823672051704).

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

321672625344 is a wasteful number, since it uses less digits than its factorization.

321672625344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 403 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 321672625344 in words is "three hundred twenty-one billion, six hundred seventy-two million, six hundred twenty-five thousand, three hundred forty-four".