564206056260 has 384 divisors, whose sum is σ = 1993642979328. Its totient is φ = 115814400000.

The previous prime is 564206056241. The next prime is 564206056261. The reversal of 564206056260 is 62650602465.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (564206056261) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 141014260 + ... + 141018260.

It is an arithmetic number, because the mean of its divisors is an integer number (5191778592).

Almost surely, 2^564206056260 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 564206056260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996821489664).

564206056260 is an abundant number, since it is smaller than the sum of its proper divisors (1429436923068).

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

564206056260 is a wasteful number, since it uses less digits than its factorization.

564206056260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 564206056260 in words is "five hundred sixty-four billion, two hundred six million, fifty-six thousand, two hundred sixty".