564311784960 has 2880 divisors, whose sum is σ = 2747259789120. Its totient is φ = 110361968640.

The previous prime is 564311784937. The next prime is 564311784991. The reversal of 564311784960 is 69487113465.

564311784960 is a `hidden beast` number, since 56 + 4 + 31 + 1 + 78 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a junction number, because it is equal to n+sod(n) for n = 564311784897 and 564311784906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33194810872 + ... + 33194810888.

It is an arithmetic number, because the mean of its divisors is an integer number (953909649).

Almost surely, 2^564311784960 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 564311784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373629894560).

564311784960 is an abundant number, since it is smaller than the sum of its proper divisors (2182948004160).

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

564311784960 is an equidigital number, since it uses as much as digits as its factorization.

564311784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 564311784960 in words is "five hundred sixty-four billion, three hundred eleven million, seven hundred eighty-four thousand, nine hundred sixty".