564765235400 has 96 divisors (see below), whose sum is σ = 1355943214080. Its totient is φ = 218537088000.

The previous prime is 564765235379. The next prime is 564765235403. The reversal of 564765235400 is 4532567465.

It is a super-2 number, since 2×564765235400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (564765235403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18131840 + ... + 18162960.

It is an arithmetic number, because the mean of its divisors is an integer number (14124408480).

Almost surely, 2^564765235400 is an apocalyptic number.

564765235400 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 564765235400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677971607040).

564765235400 is an abundant number, since it is smaller than the sum of its proper divisors (791177978680).

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

564765235400 is a wasteful number, since it uses less digits than its factorization.

564765235400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34095 (or 34086 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 47.

The spelling of 564765235400 in words is "five hundred sixty-four billion, seven hundred sixty-five million, two hundred thirty-five thousand, four hundred".