566473457664 has 544 divisors, whose sum is σ = 1811925504000. Its totient is φ = 174399160320.

The previous prime is 566473457659. The next prime is 566473457689. The reversal of 566473457664 is 466754374665.

566473457664 is a `hidden beast` number, since 5 + 66 + 473 + 45 + 7 + 6 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1261633312 + ... + 1261633760.

Almost surely, 2^566473457664 is an apocalyptic number.

566473457664 is a gapful number since it is divisible by the number (54) 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 566473457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905962752000).

566473457664 is an abundant number, since it is smaller than the sum of its proper divisors (1245452046336).

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

566473457664 is an equidigital number, since it uses as much as digits as its factorization.

566473457664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 508 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 63.

The spelling of 566473457664 in words is "five hundred sixty-six billion, four hundred seventy-three million, four hundred fifty-seven thousand, six hundred sixty-four".