564420672 has 84 divisors (see below), whose sum is σ = 1713004956. Its totient is φ = 177070080.

The previous prime is 564420671. The next prime is 564420673. The reversal of 564420672 is 276024465.

564420672 is a `hidden beast` number, since 5 + 644 + 2 + 0 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (564420671) and next prime (564420673).

It can be written as a sum of positive squares in 2 ways, for example, as 178062336 + 386358336 = 13344^2 + 19656^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (564420671) 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, 19029 + ... + 38612.

Almost surely, 2^564420672 is an apocalyptic number.

It is an amenable number.

564420672 is an abundant number, since it is smaller than the sum of its proper divisors (1148584284).

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

564420672 is a wasteful number, since it uses less digits than its factorization.

564420672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57676 (or 57663 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 564420672 is about 23757.5392665150. The cubic root of 564420672 is about 826.4202884687.

The spelling of 564420672 in words is "five hundred sixty-four million, four hundred twenty thousand, six hundred seventy-two".