564006912000 has 1024 divisors, whose sum is σ = 2198452838400. Its totient is φ = 125750476800.

The previous prime is 564006911987. The next prime is 564006912017. The reversal of 564006912000 is 219600465.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6795263959 + ... + 6795264041.

It is an arithmetic number, because the mean of its divisors is an integer number (2146926600).

Almost surely, 2^564006912000 is an apocalyptic number.

564006912000 is a gapful number since it is divisible by the number (50) 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 564006912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099226419200).

564006912000 is an abundant number, since it is smaller than the sum of its proper divisors (1634445926400).

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

564006912000 is an frugal number, since it uses more digits than its factorization.

564006912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 564006912000 in words is "five hundred sixty-four billion, six million, nine hundred twelve thousand".