564329047680 has 448 divisors, whose sum is σ = 2026414130400. Its totient is φ = 150213408768.

The previous prime is 564329047631. The next prime is 564329047753. The reversal of 564329047680 is 86740923465.

564329047680 is a `hidden beast` number, since 5 + 6 + 4 + 3 + 2 + 90 + 476 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 475424047 + ... + 475425233.

Almost surely, 2^564329047680 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 564329047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013207065200).

564329047680 is an abundant number, since it is smaller than the sum of its proper divisors (1462085082720).

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

564329047680 is a wasteful number, since it uses less digits than its factorization.

564329047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 564329047680 in words is "five hundred sixty-four billion, three hundred twenty-nine million, forty-seven thousand, six hundred eighty".