564700687200 has 864 divisors, whose sum is σ = 2330360847360. Its totient is φ = 127426867200.

The previous prime is 564700687189. The next prime is 564700687261. The reversal of 564700687200 is 2786007465.

564700687200 is a `hidden beast` number, since 56 + 470 + 0 + 68 + 72 + 0 + 0 = 666.

It is a super-2 number, since 2×564700687200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55125279 + ... + 55135521.

Almost surely, 2^564700687200 is an apocalyptic number.

564700687200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564700687200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165180423680).

564700687200 is an abundant number, since it is smaller than the sum of its proper divisors (1765660160160).

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

564700687200 is a wasteful number, since it uses less digits than its factorization.

564700687200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10332 (or 10316 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 564700687200 in words is "five hundred sixty-four billion, seven hundred million, six hundred eighty-seven thousand, two hundred".