564237735820 has 24 divisors (see below), whose sum is σ = 1292617358928. Its totient is φ = 205177358400.

The previous prime is 564237735811. The next prime is 564237735829. The reversal of 564237735820 is 28537732465.

It is an interprime number because it is at equal distance from previous prime (564237735811) and next prime (564237735829).

It is a super-3 number, since 3×564237735820³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (564237735829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1282358271 + ... + 1282358710.

It is an arithmetic number, because the mean of its divisors is an integer number (53859056622).

Almost surely, 2^564237735820 is an apocalyptic number.

It is an amenable number.

564237735820 is an abundant number, since it is smaller than the sum of its proper divisors (728379623108).

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

564237735820 is a wasteful number, since it uses less digits than its factorization.

564237735820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564717001 (or 2564716999 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 52.

The spelling of 564237735820 in words is "five hundred sixty-four billion, two hundred thirty-seven million, seven hundred thirty-five thousand, eight hundred twenty".