66446800 has 120 divisors (see below), whose sum is σ = 192200000. Its totient is φ = 21565440.

The previous prime is 66446797. The next prime is 66446867. The reversal of 66446800 is 864466.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52576 + ... + 53824.

Almost surely, 2^66446800 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 66446800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96100000).

66446800 is an abundant number, since it is smaller than the sum of its proper divisors (125753200).

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

66446800 is a wasteful number, since it uses less digits than its factorization.

66446800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 66446800 is about 8151.4906612226. The cubic root of 66446800 is about 405.0338842757.

The spelling of 66446800 in words is "sixty-six million, four hundred forty-six thousand, eight hundred".