320979800977920 has 6400 divisors, whose sum is σ = 1497012985036800. Its totient is φ = 64084471971840.

The previous prime is 320979800977909. The next prime is 320979800978041. The reversal of 320979800977920 is 29779008979023.

320979800977920 is a `hidden beast` number, since 320 + 9 + 79 + 80 + 0 + 9 + 77 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2309207201211 + ... + 2309207201349.

It is an arithmetic number, because the mean of its divisors is an integer number (233908278912).

Almost surely, 2^{320979800977920} is an apocalyptic number.

320979800977920 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 320979800977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748506492518400).

320979800977920 is an abundant number, since it is smaller than the sum of its proper divisors (1176033184058880).

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

320979800977920 is a wasteful number, since it uses less digits than its factorization.

320979800977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 216040608, while the sum is 72.

The spelling of 320979800977920 in words is "three hundred twenty trillion, nine hundred seventy-nine billion, eight hundred million, nine hundred seventy-seven thousand, nine hundred twenty".