668729600 has 432 divisors, whose sum is σ = 2189859840. Its totient is φ = 195993600.

The previous prime is 668729599. The next prime is 668729609. The reversal of 668729600 is 6927866.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (668729609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11334371 + ... + 11334429.

It is an arithmetic number, because the mean of its divisors is an integer number (5069120).

Almost surely, 2^668729600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094929920).

668729600 is an abundant number, since it is smaller than the sum of its proper divisors (1521130240).

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

668729600 is a wasteful number, since it uses less digits than its factorization.

668729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 668729600 is about 25859.8066504759. The cubic root of 668729600 is about 874.4806060380.

The spelling of 668729600 in words is "six hundred sixty-eight million, seven hundred twenty-nine thousand, six hundred".