564385536 has 288 divisors, whose sum is σ = 1964202240. Its totient is φ = 157593600.

The previous prime is 564385529. The next prime is 564385537. The reversal of 564385536 is 635583465.

564385536 is a `hidden beast` number, since 5 + 64 + 38 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (1296000) is a multiple of the sum of its prime divisors (600).

It is a junction number, because it is equal to n+sod(n) for n = 564385491 and 564385500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564385537) 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, 988131 + ... + 988701.

Almost surely, 2^564385536 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 564385536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982101120).

564385536 is an abundant number, since it is smaller than the sum of its proper divisors (1399816704).

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

564385536 is a wasteful number, since it uses less digits than its factorization.

564385536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 600 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The square root of 564385536 is about 23756.7997844828. The cubic root of 564385536 is about 826.4031394950.

The spelling of 564385536 in words is "five hundred sixty-four million, three hundred eighty-five thousand, five hundred thirty-six".