66456800 has 36 divisors (see below), whose sum is σ = 162239616. Its totient is φ = 26582400.

The previous prime is 66456787. The next prime is 66456809. The reversal of 66456800 is 865466.

66456800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66456809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40736 + ... + 42335.

It is an arithmetic number, because the mean of its divisors is an integer number (4506656).

Almost surely, 2^66456800 is an apocalyptic number.

It is an amenable number.

66456800 is an abundant number, since it is smaller than the sum of its proper divisors (95782816).

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

66456800 is a wasteful number, since it uses less digits than its factorization.

66456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83091 (or 83078 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 66456800 is about 8152.1040228888. The cubic root of 66456800 is about 405.0542019618.

The spelling of 66456800 in words is "sixty-six million, four hundred fifty-six thousand, eight hundred".