566811648000 has 1792 divisors, whose sum is σ = 2404447718400. Its totient is φ = 130587033600.

The previous prime is 566811647977. The next prime is 566811648001. The reversal of 566811648000 is 846118665.

566811648000 is a `hidden beast` number, since 56 + 6 + 8 + 116 + 480 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (566811648001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6829055959 + ... + 6829056041.

It is an arithmetic number, because the mean of its divisors is an integer number (1341767700).

Almost surely, 2^566811648000 is an apocalyptic number.

566811648000 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 566811648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202223859200).

566811648000 is an abundant number, since it is smaller than the sum of its proper divisors (1837636070400).

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

566811648000 is a wasteful number, since it uses less digits than its factorization.

566811648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 566811648000 in words is "five hundred sixty-six billion, eight hundred eleven million, six hundred forty-eight thousand".