320407700888880 has 480 divisors, whose sum is σ = 1177183818270720. Its totient is φ = 77454558720000.

The previous prime is 320407700888819. The next prime is 320407700888963. The reversal of 320407700888880 is 88888007704023.

320407700888880 is a `hidden beast` number, since 3 + 2 + 0 + 407 + 70 + 0 + 8 + 8 + 88 + 80 = 666.

It is a super-2 number, since 2×320407700888880² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27738519105 + ... + 27738530655.

It is an arithmetic number, because the mean of its divisors is an integer number (2452466288064).

Almost surely, 2^{320407700888880} is an apocalyptic number.

320407700888880 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 320407700888880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588591909135360).

320407700888880 is an abundant number, since it is smaller than the sum of its proper divisors (856776117381840).

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

320407700888880 is a wasteful number, since it uses less digits than its factorization.

320407700888880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21201 (or 21192 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 63.

The spelling of 320407700888880 in words is "three hundred twenty trillion, four hundred seven billion, seven hundred million, eight hundred eighty-eight thousand, eight hundred eighty".