320517377920 has 128 divisors (see below), whose sum is σ = 809423856000. Its totient is φ = 121028732928.

The previous prime is 320517377911. The next prime is 320517377989. The reversal of 320517377920 is 29773715023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3394711 + ... + 3487849.

It is an arithmetic number, because the mean of its divisors is an integer number (6323623875).

Almost surely, 2^320517377920 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 320517377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404711928000).

320517377920 is an abundant number, since it is smaller than the sum of its proper divisors (488906478080).

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

320517377920 is a wasteful number, since it uses less digits than its factorization.

320517377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93460 (or 93448 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 46.

The spelling of 320517377920 in words is "three hundred twenty billion, five hundred seventeen million, three hundred seventy-seven thousand, nine hundred twenty".