668440080 has 320 divisors, whose sum is σ = 2871244800. Its totient is φ = 138862080.

The previous prime is 668440061. The next prime is 668440103. The reversal of 668440080 is 80044866.

668440080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 164311 + ... + 168329.

It is an arithmetic number, because the mean of its divisors is an integer number (8972640).

Almost surely, 2^668440080 is an apocalyptic number.

668440080 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 668440080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435622400).

668440080 is an abundant number, since it is smaller than the sum of its proper divisors (2202804720).

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

668440080 is a wasteful number, since it uses less digits than its factorization.

668440080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 668440080 is about 25854.2081681107. The cubic root of 668440080 is about 874.3543885200.

It can be divided in two parts, 6684 and 40080, that added together give a palindrome (46764).

The spelling of 668440080 in words is "six hundred sixty-eight million, four hundred forty thousand, eighty".