317920045680 has 120 divisors (see below), whose sum is σ = 1069822338000. Its totient is φ = 84608686080.

The previous prime is 317920045673. The next prime is 317920045691. The reversal of 317920045680 is 86540029713.

317920045680 is a `hidden beast` number, since 3 + 179 + 20 + 0 + 456 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83161 + ... + 801720.

It is an arithmetic number, because the mean of its divisors is an integer number (8915186150).

It is a 1-persistent number, because it is pandigital, but 2⋅317920045680 = 635840091360 is not.

Almost surely, 2^317920045680 is an apocalyptic number.

317920045680 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 317920045680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534911169000).

317920045680 is an abundant number, since it is smaller than the sum of its proper divisors (751902292320).

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

317920045680 is a wasteful number, since it uses less digits than its factorization.

317920045680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885399 (or 885390 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 317920045680 in words is "three hundred seventeen billion, nine hundred twenty million, forty-five thousand, six hundred eighty".