564343560000 has 1680 divisors, whose sum is σ = 2386334478528. Its totient is φ = 125952000000.

The previous prime is 564343559987. The next prime is 564343560007. The reversal of 564343560000 is 65343465.

564343560000 is a `hidden beast` number, since 5 + 6 + 4 + 3 + 43 + 5 + 600 + 0 + 0 = 666.

564343560000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564343560007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5587559950 + ... + 5587560050.

Almost surely, 2^564343560000 is an apocalyptic number.

564343560000 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 564343560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193167239264).

564343560000 is an abundant number, since it is smaller than the sum of its proper divisors (1821990918528).

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

564343560000 is a wasteful number, since it uses less digits than its factorization.

564343560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 564343560000 in words is "five hundred sixty-four billion, three hundred forty-three million, five hundred sixty thousand".