564663121920 has 768 divisors, whose sum is σ = 2237481792000. Its totient is φ = 134239223808.

The previous prime is 564663121871. The next prime is 564663121931. The reversal of 564663121920 is 29121366465.

564663121920 is a `hidden beast` number, since 5 + 6 + 4 + 6 + 631 + 2 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

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, 89299879 + ... + 89306201.

It is an arithmetic number, because the mean of its divisors is an integer number (2913387750).

Almost surely, 2^564663121920 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 564663121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118740896000).

564663121920 is an abundant number, since it is smaller than the sum of its proper divisors (1672818670080).

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

564663121920 is a wasteful number, since it uses less digits than its factorization.

564663121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6395 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 564663121920 in words is "five hundred sixty-four billion, six hundred sixty-three million, one hundred twenty-one thousand, nine hundred twenty".