564341760 has 264 divisors, whose sum is σ = 2014346256. Its totient is φ = 145981440.

The previous prime is 564341719. The next prime is 564341801. The reversal of 564341760 is 67143465.

It is a happy number.

564341760 is a `hidden beast` number, since 5 + 643 + 4 + 1 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (564341719) and next prime (564341801).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1704795 + ... + 1705125.

Almost surely, 2^564341760 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 564341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007173128).

564341760 is an abundant number, since it is smaller than the sum of its proper divisors (1450004496).

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

564341760 is a wasteful number, since it uses less digits than its factorization.

564341760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 564341760 is about 23755.8784304012. The cubic root of 564341760 is about 826.3817725647.

The spelling of 564341760 in words is "five hundred sixty-four million, three hundred forty-one thousand, seven hundred sixty".