668099880 has 256 divisors, whose sum is σ = 2585088000. Its totient is φ = 150315264.

The previous prime is 668099867. The next prime is 668099897. The reversal of 668099880 is 88990866.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 505861 + ... + 507179.

It is an arithmetic number, because the mean of its divisors is an integer number (10098000).

Almost surely, 2^668099880 is an apocalyptic number.

668099880 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 668099880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292544000).

668099880 is an abundant number, since it is smaller than the sum of its proper divisors (1916988120).

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

668099880 is a wasteful number, since it uses less digits than its factorization.

668099880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 668099880 is about 25847.6281310297. The cubic root of 668099880 is about 874.2060302507.

The spelling of 668099880 in words is "six hundred sixty-eight million, ninety-nine thousand, eight hundred eighty".