6317408160 has 768 divisors, whose sum is σ = 27311800320. Its totient is φ = 1332080640.

The previous prime is 6317408159. The next prime is 6317408179. The reversal of 6317408160 is 618047136.

6317408160 is a `hidden beast` number, since 631 + 7 + 4 + 0 + 8 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21560974 + ... + 21561266.

It is an arithmetic number, because the mean of its divisors is an integer number (35562240).

Almost surely, 2^6317408160 is an apocalyptic number.

6317408160 is a gapful number since it is divisible by the number (60) 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 6317408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13655900160).

6317408160 is an abundant number, since it is smaller than the sum of its proper divisors (20994392160).

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

6317408160 is a wasteful number, since it uses less digits than its factorization.

6317408160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6317408160 is about 79482.1247828718. The cubic root of 6317408160 is about 1848.6143176059.

The spelling of 6317408160 in words is "six billion, three hundred seventeen million, four hundred eight thousand, one hundred sixty".