668272500 has 180 divisors, whose sum is σ = 2413002592. Its totient is φ = 152712000.

The previous prime is 668272481. The next prime is 668272513. The reversal of 668272500 is 5272866.

668272500 is a `hidden beast` number, since 6 + 6 + 82 + 72 + 500 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 155379 + ... + 159621.

Almost surely, 2^668272500 is an apocalyptic number.

668272500 is a gapful number since it is divisible by the number (60) 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 668272500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206501296).

668272500 is an abundant number, since it is smaller than the sum of its proper divisors (1744730092).

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

668272500 is a wasteful number, since it uses less digits than its factorization.

668272500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 668272500 is about 25850.9670998978. The cubic root of 668272500 is about 874.2813146279.

The spelling of 668272500 in words is "six hundred sixty-eight million, two hundred seventy-two thousand, five hundred".