166872676436676 has 144 divisors (see below), whose sum is σ = 493504798410624. Its totient is φ = 46548624181248.

The previous prime is 166872676436629. The next prime is 166872676436677. The reversal of 166872676436676 is 676634676278661.

166872676436676 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 72 + 67 + 64 + 366 + 76 = 666.

It is a super-2 number, since 2×166872676436676² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166872676436595 and 166872676436604.

It is not an unprimeable number, because it can be changed into a prime (166872676436677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21242670 + ... + 28017786.

Almost surely, 2^{166872676436676} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166872676436676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246752399205312).

166872676436676 is an abundant number, since it is smaller than the sum of its proper divisors (326632121973948).

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

166872676436676 is a wasteful number, since it uses less digits than its factorization.

166872676436676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6777450 (or 6777445 counting only the distinct ones).

The product of its digits is 18435465216, while the sum is 81.

The spelling of 166872676436676 in words is "one hundred sixty-six trillion, eight hundred seventy-two billion, six hundred seventy-six million, four hundred thirty-six thousand, six hundred seventy-six".