564536323120 has 160 divisors (see below), whose sum is σ = 1641064250880. Its totient is φ = 175460229120.

The previous prime is 564536323073. The next prime is 564536323129. The reversal of 564536323120 is 21323635465.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (564536323129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2044671 + ... + 2304289.

It is an arithmetic number, because the mean of its divisors is an integer number (10256651568).

Almost surely, 2^564536323120 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 564536323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820532125440).

564536323120 is an abundant number, since it is smaller than the sum of its proper divisors (1076527927760).

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

564536323120 is a wasteful number, since it uses less digits than its factorization.

564536323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260003 (or 259997 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 40.

Adding to 564536323120 its reverse (21323635465), we get a palindrome (585859958585).

The spelling of 564536323120 in words is "five hundred sixty-four billion, five hundred thirty-six million, three hundred twenty-three thousand, one hundred twenty".