317968734504960 has 3456 divisors, whose sum is σ = 1456416383385600. Its totient is φ = 65792454819840.

The previous prime is 317968734504913. The next prime is 317968734504983. The reversal of 317968734504960 is 69405437869713.

317968734504960 is a `hidden beast` number, since 3 + 1 + 7 + 9 + 6 + 8 + 73 + 450 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×317968734504960² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 513681315531 + ... + 513681316149.

It is an arithmetic number, because the mean of its divisors is an integer number (421416777600).

Almost surely, 2^{317968734504960} is an apocalyptic number.

317968734504960 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 317968734504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728208191692800).

317968734504960 is an abundant number, since it is smaller than the sum of its proper divisors (1138447648880640).

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

317968734504960 is a wasteful number, since it uses less digits than its factorization.

317968734504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 317968734504960 in words is "three hundred seventeen trillion, nine hundred sixty-eight billion, seven hundred thirty-four million, five hundred four thousand, nine hundred sixty".