179400769968 has 160 divisors (see below), whose sum is σ = 537946140672. Its totient is φ = 50457657600.

The previous prime is 179400769957. The next prime is 179400769981. The reversal of 179400769968 is 869967004971.

It is a super-2 number, since 2×179400769968² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 179400769899 and 179400769908.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16479055 + ... + 16489937.

Almost surely, 2^179400769968 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 179400769968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268973070336).

179400769968 is an abundant number, since it is smaller than the sum of its proper divisors (358545370704).

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

179400769968 is a wasteful number, since it uses less digits than its factorization.

179400769968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11663 (or 11657 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 66.

The spelling of 179400769968 in words is "one hundred seventy-nine billion, four hundred million, seven hundred sixty-nine thousand, nine hundred sixty-eight".