66166382304 has 96 divisors (see below), whose sum is σ = 210529428480. Its totient is φ = 20050416000.

The previous prime is 66166382273. The next prime is 66166382369. The reversal of 66166382304 is 40328366166.

66166382304 is a `hidden beast` number, since 6 + 6 + 1 + 6 + 638 + 2 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 66166382304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3471472 + ... + 3490479.

It is an arithmetic number, because the mean of its divisors is an integer number (2193014880).

Almost surely, 2^66166382304 is an apocalyptic number.

It is an amenable number.

66166382304 is an abundant number, since it is smaller than the sum of its proper divisors (144363046176).

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

66166382304 is a wasteful number, since it uses less digits than its factorization.

66166382304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6961981 (or 6961967 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 66166382304 in words is "sixty-six billion, one hundred sixty-six million, three hundred eighty-two thousand, three hundred four".