564346752 has 64 divisors (see below), whose sum is σ = 1501570560. Its totient is φ = 187799040.

The previous prime is 564346751. The next prime is 564346763. The reversal of 564346752 is 257643465.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564346751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379803 + ... + 381285.

It is an arithmetic number, because the mean of its divisors is an integer number (23462040).

Almost surely, 2^564346752 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 564346752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750785280).

564346752 is an abundant number, since it is smaller than the sum of its proper divisors (937223808).

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

564346752 is a wasteful number, since it uses less digits than its factorization.

564346752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2479 counting only the distinct ones).

The product of its digits is 604800, while the sum is 42.

The square root of 564346752 is about 23755.9834988998. The cubic root of 564346752 is about 826.3842092003.

The spelling of 564346752 in words is "five hundred sixty-four million, three hundred forty-six thousand, seven hundred fifty-two".