564057750465 has 64 divisors (see below), whose sum is σ = 1110257694720. Its totient is φ = 269400669120.

The previous prime is 564057750439. The next prime is 564057750467.

It is a happy number.

564057750465 is a `hidden beast` number, since 5 + 6 + 4 + 0 + 5 + 77 + 504 + 65 = 666.

564057750465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564057750465 - 2¹¹ = 564057748417 is a prime.

It is a super-2 number, since 2×564057750465² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (564057750467) 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 63 ways as a sum of consecutive naturals, for example, 2735109 + ... + 2934098.

It is an arithmetic number, because the mean of its divisors is an integer number (17347776480).

Almost surely, 2^564057750465 is an apocalyptic number.

564057750465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564057750465 is a deficient number, since it is larger than the sum of its proper divisors (546199944255).

564057750465 is a wasteful number, since it uses less digits than its factorization.

564057750465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5669299 (or 5669293 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 564057750465 in words is "five hundred sixty-four billion, fifty-seven million, seven hundred fifty thousand, four hundred sixty-five".