564057077760 has 384 divisors, whose sum is σ = 2187335404800. Its totient is φ = 136740372480.

The previous prime is 564057077719. The next prime is 564057077789. The reversal of 564057077760 is 67770750465.

564057077760 is a `hidden beast` number, since 5 + 6 + 4 + 0 + 570 + 7 + 7 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 564057077697 and 564057077706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2948547 + ... + 3134013.

It is an arithmetic number, because the mean of its divisors is an integer number (5696185950).

Almost surely, 2^564057077760 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 564057077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093667702400).

564057077760 is an abundant number, since it is smaller than the sum of its proper divisors (1623278327040).

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

564057077760 is a wasteful number, since it uses less digits than its factorization.

564057077760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185514 (or 185488 counting only the distinct ones).

The product of its (nonzero) digits is 8643600, while the sum is 54.

The spelling of 564057077760 in words is "five hundred sixty-four billion, fifty-seven million, seventy-seven thousand, seven hundred sixty".