564943014720 has 1680 divisors, whose sum is σ = 2525169366720. Its totient is φ = 119140761600.

The previous prime is 564943014709. The next prime is 564943014743. The reversal of 564943014720 is 27410349465.

564943014720 is a `hidden beast` number, since 5 + 64 + 94 + 30 + 1 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 989392035 + ... + 989392605.

It is an arithmetic number, because the mean of its divisors is an integer number (1503077004).

Almost surely, 2^564943014720 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 564943014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262584683360).

564943014720 is an abundant number, since it is smaller than the sum of its proper divisors (1960226352000).

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

564943014720 is a wasteful number, since it uses less digits than its factorization.

564943014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 564943014720 in words is "five hundred sixty-four billion, nine hundred forty-three million, fourteen thousand, seven hundred twenty".