564123776 has 64 divisors (see below), whose sum is σ = 1177243200. Its totient is φ = 268907520.

The previous prime is 564123761. The next prime is 564123787. The reversal of 564123776 is 677321465.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307181 + ... + 309011.

It is an arithmetic number, because the mean of its divisors is an integer number (18394425).

Almost surely, 2^564123776 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 564123776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588621600).

564123776 is an abundant number, since it is smaller than the sum of its proper divisors (613119424).

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

564123776 is a wasteful number, since it uses less digits than its factorization.

564123776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1945 counting only the distinct ones).

The product of its digits is 211680, while the sum is 41.

The square root of 564123776 is about 23751.2899860197. The cubic root of 564123776 is about 826.2753587947.

The spelling of 564123776 in words is "five hundred sixty-four million, one hundred twenty-three thousand, seven hundred seventy-six".