317882689920 has 1024 divisors, whose sum is σ = 1251276595200. Its totient is φ = 75910348800.

The previous prime is 317882689919. The next prime is 317882689921. The reversal of 317882689920 is 29986288713.

It is an interprime number because it is at equal distance from previous prime (317882689919) and next prime (317882689921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317882689921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 610139260 + ... + 610139780.

It is an arithmetic number, because the mean of its divisors is an integer number (1221949800).

Almost surely, 2^317882689920 is an apocalyptic number.

317882689920 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 317882689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625638297600).

317882689920 is an abundant number, since it is smaller than the sum of its proper divisors (933393905280).

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

317882689920 is a wasteful number, since it uses less digits than its factorization.

317882689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 317882689920 in words is "three hundred seventeen billion, eight hundred eighty-two million, six hundred eighty-nine thousand, nine hundred twenty".