564180736 has 144 divisors (see below), whose sum is σ = 1352114176. Its totient is φ = 229920768.

The previous prime is 564180689. The next prime is 564180763. The reversal of 564180736 is 637081465.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4442305 + ... + 4442431.

Almost surely, 2^564180736 is an apocalyptic number.

564180736 is a gapful number since it is divisible by the number (56) 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 564180736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676057088).

564180736 is an abundant number, since it is smaller than the sum of its proper divisors (787933440).

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

564180736 is a wasteful number, since it uses less digits than its factorization.

564180736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 564180736 is about 23752.4890485187. The cubic root of 564180736 is about 826.3031677393.

The spelling of 564180736 in words is "five hundred sixty-four million, one hundred eighty thousand, seven hundred thirty-six".