564345027840 has 288 divisors, whose sum is σ = 2019376308096. Its totient is φ = 133112954880.

The previous prime is 564345027773. The next prime is 564345027863. The reversal of 564345027840 is 48720543465.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 564345027840.

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 31 ways as a sum of consecutive naturals, for example, 1382334 + ... + 1743426.

It is an arithmetic number, because the mean of its divisors is an integer number (7011723292).

Almost surely, 2^564345027840 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 564345027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009688154048).

564345027840 is an abundant number, since it is smaller than the sum of its proper divisors (1455031280256).

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

564345027840 is a wasteful number, since it uses less digits than its factorization.

564345027840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361165 (or 361151 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 564345027840 in words is "five hundred sixty-four billion, three hundred forty-five million, twenty-seven thousand, eight hundred forty".