66673600 has 84 divisors (see below), whose sum is σ = 187527184. Its totient is φ = 22855680.

The previous prime is 66673583. The next prime is 66673613. The reversal of 66673600 is 637666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8224 + ... + 14176.

Almost surely, 2^66673600 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 66673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93763592).

66673600 is an abundant number, since it is smaller than the sum of its proper divisors (120853584).

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

66673600 is a wasteful number, since it uses less digits than its factorization.

66673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5982 (or 5967 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 66673600 is about 8165.3903764609. The cubic root of 66673600 is about 405.4941891956.

The spelling of 66673600 in words is "sixty-six million, six hundred seventy-three thousand, six hundred".