564264099840 has 448 divisors, whose sum is σ = 2073914795520. Its totient is φ = 128322109440.

The previous prime is 564264099829. The next prime is 564264099851. The reversal of 564264099840 is 48990462465.

It is an interprime number because it is at equal distance from previous prime (564264099829) and next prime (564264099851).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 181492206 + ... + 181495314.

Almost surely, 2^564264099840 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 564264099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036957397760).

564264099840 is an abundant number, since it is smaller than the sum of its proper divisors (1509650695680).

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

564264099840 is a wasteful number, since it uses less digits than its factorization.

564264099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 564264099840 in words is "five hundred sixty-four billion, two hundred sixty-four million, ninety-nine thousand, eight hundred forty".