564187680 has 336 divisors, whose sum is σ = 2287220544. Its totient is φ = 128770560.

The previous prime is 564187669. The next prime is 564187681. The reversal of 564187680 is 86781465.

It is a happy number.

564187680 is a `hidden beast` number, since 564 + 1 + 8 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (564187681) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 816135 + ... + 816825.

It is an arithmetic number, because the mean of its divisors is an integer number (6807204).

Almost surely, 2^564187680 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 564187680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143610272).

564187680 is an abundant number, since it is smaller than the sum of its proper divisors (1723032864).

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

564187680 is an equidigital number, since it uses as much as digits as its factorization.

564187680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 564187680 is about 23752.6352222232. The cubic root of 564187680 is about 826.3065578028.

The spelling of 564187680 in words is "five hundred sixty-four million, one hundred eighty-seven thousand, six hundred eighty".