321052999680 has 736 divisors, whose sum is σ = 1320702286080. Its totient is φ = 73383542784.

The previous prime is 321052999609. The next prime is 321052999703. The reversal of 321052999680 is 86999250123.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (4!)³ ⋅ (2!)⁶.

321052999680 is a `hidden beast` number, since 3 + 21 + 0 + 529 + 9 + 96 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45864714237 + ... + 45864714243.

Almost surely, 2^321052999680 is an apocalyptic number.

321052999680 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 321052999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660351143040).

321052999680 is an abundant number, since it is smaller than the sum of its proper divisors (999649286400).

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

321052999680 is an frugal number, since it uses more digits than its factorization.

321052999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 321052999680 in words is "three hundred twenty-one billion, fifty-two million, nine hundred ninety-nine thousand, six hundred eighty".