66994400 has 144 divisors (see below), whose sum is σ = 186738048. Its totient is φ = 23232000.

The previous prime is 66994397. The next prime is 66994427. The reversal of 66994400 is 449966.

66994400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 202235 + ... + 202565.

It is an arithmetic number, because the mean of its divisors is an integer number (1296792).

Almost surely, 2^66994400 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 66994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93369024).

66994400 is an abundant number, since it is smaller than the sum of its proper divisors (119743648).

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

66994400 is a wasteful number, since it uses less digits than its factorization.

66994400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 66994400 is about 8185.0106902801. The cubic root of 66994400 is about 406.1434939734.

The spelling of 66994400 in words is "sixty-six million, nine hundred ninety-four thousand, four hundred".