66066066000036 has 54 divisors (see below), whose sum is σ = 172561218785046. Its totient is φ = 21311634182400.

The previous prime is 66066066000019. The next prime is 66066066000059. The reversal of 66066066000036 is 63000066066066.

66066066000036 is a `hidden beast` number, since 6 + 6 + 0 + 6 + 6 + 0 + 6 + 600 + 0 + 0 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58155876000000 + 7910190000036 = 7626000^2 + 2812506^2 .

It is a super-2 number, since 2×66066066000036² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66066065999955 and 66066066000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 954787725 + ... + 954856916.

It is an arithmetic number, because the mean of its divisors is an integer number (3195578125649).

Almost surely, 2^{66066066000036} is an apocalyptic number.

It is an amenable number.

66066066000036 is an abundant number, since it is smaller than the sum of its proper divisors (106495152785010).

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

66066066000036 is a wasteful number, since it uses less digits than its factorization.

66066066000036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909644713 (or 1909644677 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 66066066000036 in words is "sixty-six trillion, sixty-six billion, sixty-six million, thirty-six", and thus it is an aban number, an eban number, and an uban number.