66732800 has 54 divisors (see below), whose sum is σ = 165189948. Its totient is φ = 26690560.

The previous prime is 66732791. The next prime is 66732817. The reversal of 66732800 is 823766.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1187 + ... + 11613.

Almost surely, 2^66732800 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 66732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82594974).

66732800 is an abundant number, since it is smaller than the sum of its proper divisors (98457148).

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

66732800 is a wasteful number, since it uses less digits than its factorization.

66732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10453 (or 10434 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 66732800 is about 8169.0146284604. The cubic root of 66732800 is about 405.6141674913.

The spelling of 66732800 in words is "sixty-six million, seven hundred thirty-two thousand, eight hundred".