564518676767808 has 672 divisors, whose sum is σ = 1779639956535168. Its totient is φ = 157429923840000.

The previous prime is 564518676767807. The next prime is 564518676767993. The reversal of 564518676767808 is 808767676815465.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (84).

It is not an unprimeable number, because it can be changed into a prime (564518676767807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45522022408 + ... + 45522034808.

It is an arithmetic number, because the mean of its divisors is an integer number (2648273744844).

Almost surely, 2^{564518676767808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564518676767808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889819978267584).

564518676767808 is an abundant number, since it is smaller than the sum of its proper divisors (1215121279767360).

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

564518676767808 is a wasteful number, since it uses less digits than its factorization.

564518676767808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13211 (or 13194 counting only the distinct ones).

The product of its (nonzero) digits is 22759833600, while the sum is 84.

The spelling of 564518676767808 in words is "five hundred sixty-four trillion, five hundred eighteen billion, six hundred seventy-six million, seven hundred sixty-seven thousand, eight hundred eight".