66566474304 has 224 divisors, whose sum is σ = 197861529600. Its totient is φ = 19575705600.

The previous prime is 66566474279. The next prime is 66566474311. The reversal of 66566474304 is 40347466566.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 17229877 + ... + 17233739.

It is an arithmetic number, because the mean of its divisors is an integer number (883310400).

Almost surely, 2^66566474304 is an apocalyptic number.

66566474304 is a gapful number since it is divisible by the number (64) 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 66566474304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98930764800).

66566474304 is an abundant number, since it is smaller than the sum of its proper divisors (131295055296).

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

66566474304 is a wasteful number, since it uses less digits than its factorization.

66566474304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129 (or 4119 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 51.

The spelling of 66566474304 in words is "sixty-six billion, five hundred sixty-six million, four hundred seventy-four thousand, three hundred four".