564699340800 has 1008 divisors, whose sum is σ = 2398818257472. Its totient is φ = 128994508800.

The previous prime is 564699340789. The next prime is 564699340813. The reversal of 564699340800 is 8043996465.

564699340800 is a `hidden beast` number, since 56 + 469 + 93 + 40 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×564699340800³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 348363990 + ... + 348365610.

Almost surely, 2^564699340800 is an apocalyptic number.

564699340800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564699340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199409128736).

564699340800 is an abundant number, since it is smaller than the sum of its proper divisors (1834118916672).

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

564699340800 is an equidigital number, since it uses as much as digits as its factorization.

564699340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 564699340800 in words is "five hundred sixty-four billion, six hundred ninety-nine million, three hundred forty thousand, eight hundred".