564841728000 has 3072 divisors, whose sum is σ = 2649314304000. Its totient is φ = 116785152000.

The previous prime is 564841727987. The next prime is 564841728001. The reversal of 564841728000 is 827148465.

564841728000 is a `hidden beast` number, since 564 + 8 + 4 + 1 + 7 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (564841728001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24558335989 + ... + 24558336011.

It is an arithmetic number, because the mean of its divisors is an integer number (862407000).

Almost surely, 2^564841728000 is an apocalyptic number.

564841728000 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 564841728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324657152000).

564841728000 is an abundant number, since it is smaller than the sum of its proper divisors (2084472576000).

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

564841728000 is a wasteful number, since it uses less digits than its factorization.

564841728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 564841728000 in words is "five hundred sixty-four billion, eight hundred forty-one million, seven hundred twenty-eight thousand".