566266464000 has 1440 divisors, whose sum is σ = 2275135454592. Its totient is φ = 139345920000.

The previous prime is 566266463941. The next prime is 566266464037. The reversal of 566266464000 is 464662665.

566266464000 is a `hidden beast` number, since 566 + 2 + 6 + 6 + 46 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 3128543910 + ... + 3128544090.

Almost surely, 2^566266464000 is an apocalyptic number.

566266464000 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 566266464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137567727296).

566266464000 is an abundant number, since it is smaller than the sum of its proper divisors (1708868990592).

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

566266464000 is a wasteful number, since it uses less digits than its factorization.

566266464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 566266464000 in words is "five hundred sixty-six billion, two hundred sixty-six million, four hundred sixty-four thousand".