564132672 has 84 divisors (see below), whose sum is σ = 1633162596. Its totient is φ = 186163200.

The previous prime is 564132671. The next prime is 564132677. The reversal of 564132672 is 276231465.

564132672 is a `hidden beast` number, since 5 + 641 + 3 + 2 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 327465216 + 236667456 = 18096^2 + 15384^2 .

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 (564132671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53328 + ... + 63024.

Almost surely, 2^564132672 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 564132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816581298).

564132672 is an abundant number, since it is smaller than the sum of its proper divisors (1069029924).

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

564132672 is a wasteful number, since it uses less digits than its factorization.

564132672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9816 (or 9803 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 564132672 is about 23751.4772593201. The cubic root of 564132672 is about 826.2797021128.

The spelling of 564132672 in words is "five hundred sixty-four million, one hundred thirty-two thousand, six hundred seventy-two".