564824064 has 192 divisors, whose sum is σ = 1798917120. Its totient is φ = 154091520.

The previous prime is 564824053. The next prime is 564824069. The reversal of 564824064 is 460428465.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564824069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 988899 + ... + 989469.

It is an arithmetic number, because the mean of its divisors is an integer number (9369360).

Almost surely, 2^564824064 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 564824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899458560).

564824064 is an abundant number, since it is smaller than the sum of its proper divisors (1234093056).

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

564824064 is a wasteful number, since it uses less digits than its factorization.

564824064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 564824064 is about 23766.0275182875. The cubic root of 564824064 is about 826.6171227101.

The spelling of 564824064 in words is "five hundred sixty-four million, eight hundred twenty-four thousand, sixty-four".