320590379934720 has 2112 divisors, whose sum is σ = 1352813220734976. Its totient is φ = 71273765928960.

The previous prime is 320590379934659. The next prime is 320590379934731. The reversal of 320590379934720 is 27439973095023.

320590379934720 is a `hidden beast` number, since 3 + 2 + 0 + 5 + 9 + 0 + 3 + 79 + 93 + 472 + 0 = 666.

It is a super-2 number, since 2×320590379934720² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96244483455 + ... + 96244486785.

It is an arithmetic number, because the mean of its divisors is an integer number (640536562848).

Almost surely, 2^{320590379934720} is an apocalyptic number.

320590379934720 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 320590379934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676406610367488).

320590379934720 is an abundant number, since it is smaller than the sum of its proper divisors (1032222840800256).

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

320590379934720 is a wasteful number, since it uses less digits than its factorization.

320590379934720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 63.

The spelling of 320590379934720 in words is "three hundred twenty trillion, five hundred ninety billion, three hundred seventy-nine million, nine hundred thirty-four thousand, seven hundred twenty".