66956865966 has 48 divisors (see below), whose sum is σ = 148410010320. Its totient is φ = 21811213440.

The previous prime is 66956865949. The next prime is 66956865973.

66956865966 is a `hidden beast` number, since 6 + 6 + 9 + 568 + 6 + 59 + 6 + 6 = 666.

66956865966 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×66956865966² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66956865894 and 66956865903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90520 + ... + 376971.

It is an arithmetic number, because the mean of its divisors is an integer number (3091875215).

Almost surely, 2^66956865966 is an apocalyptic number.

66956865966 is an abundant number, since it is smaller than the sum of its proper divisors (81453144354).

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

66956865966 is a wasteful number, since it uses less digits than its factorization.

66956865966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467681 (or 467678 counting only the distinct ones).

The product of its digits is 755827200, while the sum is 72.

The spelling of 66956865966 in words is "sixty-six billion, nine hundred fifty-six million, eight hundred sixty-five thousand, nine hundred sixty-six".