668763900 has 432 divisors, whose sum is σ = 2607055360. Its totient is φ = 139968000.

The previous prime is 668763871. The next prime is 668763913. The reversal of 668763900 is 9367866.

668763900 is a `hidden beast` number, since 6 + 6 + 8 + 7 + 639 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4428825 + ... + 4428975.

Almost surely, 2^668763900 is an apocalyptic number.

668763900 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 668763900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303527680).

668763900 is an abundant number, since it is smaller than the sum of its proper divisors (1938291460).

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

668763900 is a wasteful number, since it uses less digits than its factorization.

668763900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 668763900 is about 25860.4698333190. The cubic root of 668763900 is about 874.4955568602.

The spelling of 668763900 in words is "six hundred sixty-eight million, seven hundred sixty-three thousand, nine hundred".