320022983234304 has 720 divisors, whose sum is σ = 1120954974216000. Its totient is φ = 90767451930624.

The previous prime is 320022983234299. The next prime is 320022983234329. The reversal of 320022983234304 is 403432389220023.

320022983234304 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 2 + 298 + 323 + 4 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 320022983234304.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 974241162 + ... + 974569590.

Almost surely, 2^{320022983234304} 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 320022983234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560477487108000).

320022983234304 is an abundant number, since it is smaller than the sum of its proper divisors (800931990981696).

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

320022983234304 is an equidigital number, since it uses as much as digits as its factorization.

320022983234304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328615 (or 328578 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 320022983234304 in words is "three hundred twenty trillion, twenty-two billion, nine hundred eighty-three million, two hundred thirty-four thousand, three hundred four".