321680056320 has 1232 divisors, whose sum is σ = 1393047800640. Its totient is φ = 69657034752.

The previous prime is 321680056309. The next prime is 321680056337. The reversal of 321680056320 is 23650086123.

It is a happy number.

321680056320 is a `hidden beast` number, since 3 + 2 + 16 + 8 + 0 + 0 + 5 + 632 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 16930529271 + ... + 16930529289.

Almost surely, 2^321680056320 is an apocalyptic number.

321680056320 is a gapful number since it is divisible by the number (30) 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 321680056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696523900320).

321680056320 is an abundant number, since it is smaller than the sum of its proper divisors (1071367744320).

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

321680056320 is an frugal number, since it uses more digits than its factorization.

321680056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 321680056320 in words is "three hundred twenty-one billion, six hundred eighty million, fifty-six thousand, three hundred twenty".