564426720 has 288 divisors, whose sum is σ = 2263663584. Its totient is φ = 126259200.

The previous prime is 564426689. The next prime is 564426727. The reversal of 564426720 is 27624465.

564426720 is a `hidden beast` number, since 5 + 644 + 2 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564426727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204550 + ... + 207290.

It is an arithmetic number, because the mean of its divisors is an integer number (7859943).

Almost surely, 2^564426720 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 564426720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131831792).

564426720 is an abundant number, since it is smaller than the sum of its proper divisors (1699236864).

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

564426720 is a wasteful number, since it uses less digits than its factorization.

564426720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 564426720 is about 23757.6665520838. Note that the first 3 decimals coincide. The cubic root of 564426720 is about 826.4232402695.

The spelling of 564426720 in words is "five hundred sixty-four million, four hundred twenty-six thousand, seven hundred twenty".