668335200 has 288 divisors, whose sum is σ = 2421844992. Its totient is φ = 158976000.

The previous prime is 668335163. The next prime is 668335201. The reversal of 668335200 is 2533866.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668335201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966855 + ... + 967545.

It is an arithmetic number, because the mean of its divisors is an integer number (8409184).

Almost surely, 2^668335200 is an apocalyptic number.

668335200 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 668335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210922496).

668335200 is an abundant number, since it is smaller than the sum of its proper divisors (1753509792).

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

668335200 is a wasteful number, since it uses less digits than its factorization.

668335200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 668335200 is about 25852.1797920407. The cubic root of 668335200 is about 874.3086566299.

The spelling of 668335200 in words is "six hundred sixty-eight million, three hundred thirty-five thousand, two hundred".