564368040 has 256 divisors, whose sum is σ = 2029536000. Its totient is φ = 138977280.

The previous prime is 564368033. The next prime is 564368041. The reversal of 564368040 is 40863465.

564368040 is a `hidden beast` number, since 5 + 643 + 6 + 8 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×564368040² = 637022569146883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 564367986 and 564368004.

It is not an unprimeable number, because it can be changed into a prime (564368041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1082980 + ... + 1083500.

It is an arithmetic number, because the mean of its divisors is an integer number (7927875).

Almost surely, 2^564368040 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 564368040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014768000).

564368040 is an abundant number, since it is smaller than the sum of its proper divisors (1465167960).

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

564368040 is a wasteful number, since it uses less digits than its factorization.

564368040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 564368040 is about 23756.4315502139. The cubic root of 564368040 is about 826.3945998841.

The spelling of 564368040 in words is "five hundred sixty-four million, three hundred sixty-eight thousand, forty".