320360887468800 has 2592 divisors, whose sum is σ = 1282747628897280. Its totient is φ = 78815644876800.

The previous prime is 320360887468747. The next prime is 320360887468849. The reversal of 320360887468800 is 8864788063023.

320360887468800 is a `hidden beast` number, since 32 + 0 + 3 + 60 + 8 + 8 + 7 + 468 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 340447276330 + ... + 340447277270.

Almost surely, 2^{320360887468800} is an apocalyptic number.

320360887468800 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 320360887468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641373814448640).

320360887468800 is an abundant number, since it is smaller than the sum of its proper divisors (962386741428480).

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

320360887468800 is a wasteful number, since it uses less digits than its factorization.

320360887468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 320360887468800 in words is "three hundred twenty trillion, three hundred sixty billion, eight hundred eighty-seven million, four hundred sixty-eight thousand, eight hundred".