564846991872 has 160 divisors (see below), whose sum is σ = 1595960530560. Its totient is φ = 177143070720.

The previous prime is 564846991867. The next prime is 564846991909. The reversal of 564846991872 is 278199648465.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 564846991797 and 564846991806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2023954 + ... + 2286062.

It is an arithmetic number, because the mean of its divisors is an integer number (9974753316).

Almost surely, 2^564846991872 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 564846991872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797980265280).

564846991872 is an abundant number, since it is smaller than the sum of its proper divisors (1031113538688).

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

564846991872 is a wasteful number, since it uses less digits than its factorization.

564846991872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262214 (or 262198 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 69.

The spelling of 564846991872 in words is "five hundred sixty-four billion, eight hundred forty-six million, nine hundred ninety-one thousand, eight hundred seventy-two".