66754734036966 has 24 divisors (see below), whose sum is σ = 153143213379624. Its totient is φ = 20942661658560.

The previous prime is 66754734036961. The next prime is 66754734036973. The reversal of 66754734036966 is 66963043745766.

66754734036966 is a `hidden beast` number, since 6 + 6 + 7 + 547 + 3 + 40 + 36 + 9 + 6 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 66754734036894 and 66754734036903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66754734036961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109076362500 + ... + 109076363111.

It is an arithmetic number, because the mean of its divisors is an integer number (6380967224151).

Almost surely, 2^{66754734036966} is an apocalyptic number.

66754734036966 is an abundant number, since it is smaller than the sum of its proper divisors (86388479342658).

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

66754734036966 is a wasteful number, since it uses less digits than its factorization.

66754734036966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218152725636 (or 218152725633 counting only the distinct ones).

The product of its (nonzero) digits is 2469035520, while the sum is 72.

The spelling of 66754734036966 in words is "sixty-six trillion, seven hundred fifty-four billion, seven hundred thirty-four million, thirty-six thousand, nine hundred sixty-six".