564466725760 has 256 divisors, whose sum is σ = 1650901824000. Its totient is φ = 180236427264.

The previous prime is 564466725749. The next prime is 564466725847. The reversal of 564466725760 is 67527664465.

It is a junction number, because it is equal to n+sod(n) for n = 564466725695 and 564466725704.

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, 4965882 + ... + 5078278.

It is an arithmetic number, because the mean of its divisors is an integer number (6448835250).

Almost surely, 2^564466725760 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 564466725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825450912000).

564466725760 is an abundant number, since it is smaller than the sum of its proper divisors (1086435098240).

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

564466725760 is a wasteful number, since it uses less digits than its factorization.

564466725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112501 (or 112489 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 58.

The spelling of 564466725760 in words is "five hundred sixty-four billion, four hundred sixty-six million, seven hundred twenty-five thousand, seven hundred sixty".