564535296000 has 1632 divisors, whose sum is σ = 2381675412480. Its totient is φ = 127401984000.

The previous prime is 564535295983. The next prime is 564535296007. The reversal of 564535296000 is 692535465.

564535296000 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 35 + 2 + 9 + 600 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564535296007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18210815985 + ... + 18210816015.

Almost surely, 2^564535296000 is an apocalyptic number.

564535296000 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 564535296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190837706240).

564535296000 is an abundant number, since it is smaller than the sum of its proper divisors (1817140116480).

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

564535296000 is a wasteful number, since it uses less digits than its factorization.

564535296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 564535296000 in words is "five hundred sixty-four billion, five hundred thirty-five million, two hundred ninety-six thousand".