320793225370560 has 616 divisors, whose sum is σ = 1213229626922736. Its totient is φ = 80512728883200.

The previous prime is 320793225370547. The next prime is 320793225370567. The reversal of 320793225370560 is 65073522397023.

320793225370560 is a `hidden beast` number, since 3 + 2 + 0 + 7 + 9 + 3 + 2 + 2 + 5 + 3 + 70 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 320793225370497 and 320793225370506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320793225370567) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 320727235 + ... + 321725885.

Almost surely, 2^{320793225370560} is an apocalyptic number.

320793225370560 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 320793225370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606614813461368).

320793225370560 is an abundant number, since it is smaller than the sum of its proper divisors (892436401552176).

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

320793225370560 is an frugal number, since it uses more digits than its factorization.

320793225370560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998715 (or 998678 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 54.

The spelling of 320793225370560 in words is "three hundred twenty trillion, seven hundred ninety-three billion, two hundred twenty-five million, three hundred seventy thousand, five hundred sixty".