564112640 has 288 divisors, whose sum is σ = 1730695680. Its totient is φ = 171343872.

The previous prime is 564112639. The next prime is 564112643. The reversal of 564112640 is 46211465.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564112643) 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 31 ways as a sum of consecutive naturals, for example, 3377837 + ... + 3378003.

It is an arithmetic number, because the mean of its divisors is an integer number (6009360).

Almost surely, 2^564112640 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 564112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865347840).

564112640 is an abundant number, since it is smaller than the sum of its proper divisors (1166583040).

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

564112640 is a wasteful number, since it uses less digits than its factorization.

564112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 564112640 is about 23751.0555554906. The cubic root of 564112640 is about 826.2699217711.

It can be divided in two parts, 5641 and 12640, that added together give a palindrome (18281).

The spelling of 564112640 in words is "five hundred sixty-four million, one hundred twelve thousand, six hundred forty".