668454378900 has 432 divisors, whose sum is σ = 2488021381440. Its totient is φ = 136994457600.

The previous prime is 668454378877. The next prime is 668454378959. The reversal of 668454378900 is 9873454866.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 11775786 + ... + 11832414.

Almost surely, 2^668454378900 is an apocalyptic number.

668454378900 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 668454378900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244010690720).

668454378900 is an abundant number, since it is smaller than the sum of its proper divisors (1819567002540).

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

668454378900 is a wasteful number, since it uses less digits than its factorization.

668454378900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56744 (or 56730 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 668454378900 in words is "six hundred sixty-eight billion, four hundred fifty-four million, three hundred seventy-eight thousand, nine hundred".