317767538047680 has 1568 divisors, whose sum is σ = 1311478510164480. Its totient is φ = 71802464256000.

The previous prime is 317767538047679. The next prime is 317767538047703. The reversal of 317767538047680 is 86740835767713.

317767538047680 is a `hidden beast` number, since 3 + 1 + 7 + 7 + 6 + 7 + 538 + 0 + 4 + 7 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 317767538047599 and 317767538047608.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 56152592691 + ... + 56152598349.

Almost surely, 2^{317767538047680} is an apocalyptic number.

317767538047680 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 317767538047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655739255082240).

317767538047680 is an abundant number, since it is smaller than the sum of its proper divisors (993710972116800).

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

317767538047680 is a wasteful number, since it uses less digits than its factorization.

317767538047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6089 (or 6064 counting only the distinct ones).

The product of its (nonzero) digits is 995742720, while the sum is 72.

The spelling of 317767538047680 in words is "three hundred seventeen trillion, seven hundred sixty-seven billion, five hundred thirty-eight million, forty-seven thousand, six hundred eighty".