564716021760 has 864 divisors, whose sum is σ = 2179302489000. Its totient is φ = 135124746240.

The previous prime is 564716021719. The next prime is 564716021791. The reversal of 564716021760 is 67120617465.

564716021760 is a `hidden beast` number, since 5 + 6 + 471 + 6 + 0 + 2 + 176 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 266652435456 + 298063586304 = 516384^2 + 545952^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 992470756 + ... + 992471324.

Almost surely, 2^564716021760 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 564716021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089651244500).

564716021760 is an abundant number, since it is smaller than the sum of its proper divisors (1614586467240).

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

564716021760 is a wasteful number, since it uses less digits than its factorization.

564716021760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 564716021760 in words is "five hundred sixty-four billion, seven hundred sixteen million, twenty-one thousand, seven hundred sixty".