66427600 has 60 divisors (see below), whose sum is σ = 161909280. Its totient is φ = 26185600.

The previous prime is 66427589. The next prime is 66427609. The reversal of 66427600 is 672466.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66427609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27231 + ... + 29569.

It is an arithmetic number, because the mean of its divisors is an integer number (2698488).

Almost surely, 2^66427600 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 66427600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80954640).

66427600 is an abundant number, since it is smaller than the sum of its proper divisors (95481680).

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

66427600 is a wasteful number, since it uses less digits than its factorization.

66427600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 66427600 is about 8150.3128774299. The cubic root of 66427600 is about 404.9948686034.

The spelling of 66427600 in words is "sixty-six million, four hundred twenty-seven thousand, six hundred".