66056594978304 has 640 divisors, whose sum is σ = 229682270822400. Its totient is φ = 18349030932480.

The previous prime is 66056594978293. The next prime is 66056594978327. The reversal of 66056594978304 is 40387949565066.

66056594978304 is a `hidden beast` number, since 6 + 6 + 0 + 5 + 6 + 59 + 497 + 83 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 5152212214 + ... + 5152225034.

It is an arithmetic number, because the mean of its divisors is an integer number (358878548160).

Almost surely, 2^{66056594978304} is an apocalyptic number.

66056594978304 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 66056594978304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114841135411200).

66056594978304 is an abundant number, since it is smaller than the sum of its proper divisors (163625675844096).

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

66056594978304 is a wasteful number, since it uses less digits than its factorization.

66056594978304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14331 (or 14309 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 66056594978304 in words is "sixty-six trillion, fifty-six billion, five hundred ninety-four million, nine hundred seventy-eight thousand, three hundred four".