320713870320 has 480 divisors, whose sum is σ = 1150985332224. Its totient is φ = 79891660800.

The previous prime is 320713870319. The next prime is 320713870327. The reversal of 320713870320 is 23078317023.

320713870320 is a `hidden beast` number, since 320 + 7 + 1 + 3 + 8 + 7 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320713870327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88764834 + ... + 88768446.

Almost surely, 2^320713870320 is an apocalyptic number.

320713870320 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 320713870320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575492666112).

320713870320 is an abundant number, since it is smaller than the sum of its proper divisors (830271461904).

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

320713870320 is a wasteful number, since it uses less digits than its factorization.

320713870320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 320713870320 in words is "three hundred twenty billion, seven hundred thirteen million, eight hundred seventy thousand, three hundred twenty".