668272176 has 480 divisors, whose sum is σ = 2456842752. Its totient is φ = 166256640.

The previous prime is 668272147. The next prime is 668272181. The reversal of 668272176 is 671272866.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8051431 + ... + 8051513.

Almost surely, 2^668272176 is an apocalyptic number.

668272176 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668272176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228421376).

668272176 is an abundant number, since it is smaller than the sum of its proper divisors (1788570576).

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

668272176 is a wasteful number, since it uses less digits than its factorization.

668272176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 152 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 668272176 is about 25850.9608332070. The cubic root of 668272176 is about 874.2811733346.

The spelling of 668272176 in words is "six hundred sixty-eight million, two hundred seventy-two thousand, one hundred seventy-six".