320461713980928 has 640 divisors, whose sum is σ = 1028976441292800. Its totient is φ = 97890044313600.

The previous prime is 320461713980911. The next prime is 320461713981007. The reversal of 320461713980928 is 829089317164023.

320461713980928 is a `hidden beast` number, since 3 + 2 + 0 + 4 + 617 + 1 + 3 + 9 + 8 + 0 + 9 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14216825338 + ... + 14216847878.

It is an arithmetic number, because the mean of its divisors is an integer number (1607775689520).

Almost surely, 2^{320461713980928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320461713980928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514488220646400).

320461713980928 is an abundant number, since it is smaller than the sum of its proper divisors (708514727311872).

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

320461713980928 is a wasteful number, since it uses less digits than its factorization.

320461713980928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23151 (or 23129 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 320461713980928 in words is "three hundred twenty trillion, four hundred sixty-one billion, seven hundred thirteen million, nine hundred eighty thousand, nine hundred twenty-eight".