317264071680 has 528 divisors, whose sum is σ = 1150652827584. Its totient is φ = 80741007360.

The previous prime is 317264071661. The next prime is 317264071681. The reversal of 317264071680 is 86170462713.

317264071680 is a `hidden beast` number, since 317 + 264 + 0 + 71 + 6 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (317264071681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90361125 + ... + 90364635.

Almost surely, 2^317264071680 is an apocalyptic number.

317264071680 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 317264071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575326413792).

317264071680 is an abundant number, since it is smaller than the sum of its proper divisors (833388755904).

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

317264071680 is a wasteful number, since it uses less digits than its factorization.

317264071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 317264071680 in words is "three hundred seventeen billion, two hundred sixty-four million, seventy-one thousand, six hundred eighty".