564719064 has 256 divisors, whose sum is σ = 1892352000. Its totient is φ = 136235520.

The previous prime is 564719041. The next prime is 564719093. The reversal of 564719064 is 460917465.

564719064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1286157 + ... + 1286595.

It is an arithmetic number, because the mean of its divisors is an integer number (7392000).

Almost surely, 2^564719064 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 564719064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946176000).

564719064 is an abundant number, since it is smaller than the sum of its proper divisors (1327632936).

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

564719064 is a wasteful number, since it uses less digits than its factorization.

564719064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 564719064 is about 23763.8183800500. The cubic root of 564719064 is about 826.5658972151.

The spelling of 564719064 in words is "five hundred sixty-four million, seven hundred nineteen thousand, sixty-four".