568012918846464 has 4928 divisors, whose sum is σ = 2286302482759680. Its totient is φ = 136949170176000.

The previous prime is 568012918846423. The next prime is 568012918846489. The reversal of 568012918846464 is 464648819210865.

568012918846464 is a `hidden beast` number, since 5 + 6 + 8 + 0 + 1 + 29 + 1 + 88 + 464 + 64 = 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 = 568012918846392 and 568012918846401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 4335976479679 + ... + 4335976479809.

It is an arithmetic number, because the mean of its divisors is an integer number (463941250560).

Almost surely, 2^{568012918846464} is an apocalyptic number.

568012918846464 is a gapful number since it is divisible by the number (54) 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 568012918846464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143151241379840).

568012918846464 is an abundant number, since it is smaller than the sum of its proper divisors (1718289563913216).

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

568012918846464 is a wasteful number, since it uses less digits than its factorization.

568012918846464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 568012918846464 in words is "five hundred sixty-eight trillion, twelve billion, nine hundred eighteen million, eight hundred forty-six thousand, four hundred sixty-four".