564836084047872 has 3584 divisors, whose sum is σ = 2311229129932800. Its totient is φ = 131925264039936.

The previous prime is 564836084047867. The next prime is 564836084047901. The reversal of 564836084047872 is 278740480638465.

564836084047872 is a `hidden beast` number, since 5 + 6 + 4 + 8 + 3 + 6 + 0 + 84 + 0 + 478 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 564836084047872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1839856951143 + ... + 1839856951449.

It is an arithmetic number, because the mean of its divisors is an integer number (644874199200).

Almost surely, 2^{564836084047872} is an apocalyptic number.

564836084047872 is a gapful number since it is divisible by the number (52) 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 564836084047872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155614564966400).

564836084047872 is an abundant number, since it is smaller than the sum of its proper divisors (1746393045884928).

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

564836084047872 is a wasteful number, since it uses less digits than its factorization.

564836084047872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 1734082560, while the sum is 72.

The spelling of 564836084047872 in words is "five hundred sixty-four trillion, eight hundred thirty-six billion, eighty-four million, forty-seven thousand, eight hundred seventy-two".