317914964640 has 1536 divisors, whose sum is σ = 1489143398400. Its totient is φ = 61451550720.

The previous prime is 317914964639. The next prime is 317914964663. The reversal of 317914964640 is 46469419713.

317914964640 is a `hidden beast` number, since 3 + 1 + 7 + 91 + 4 + 96 + 464 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 231546994 + ... + 231548366.

It is an arithmetic number, because the mean of its divisors is an integer number (969494400).

Almost surely, 2^317914964640 is an apocalyptic number.

317914964640 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 317914964640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744571699200).

317914964640 is an abundant number, since it is smaller than the sum of its proper divisors (1171228433760).

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

317914964640 is a wasteful number, since it uses less digits than its factorization.

317914964640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 317914964640 in words is "three hundred seventeen billion, nine hundred fourteen million, nine hundred sixty-four thousand, six hundred forty".