66744400 has 30 divisors (see below), whose sum is σ = 160354382. Its totient is φ = 26697600.

The previous prime is 66744373. The next prime is 66744407. The reversal of 66744400 is 444766.

66744400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 17239104 + 49505296 = 4152^2 + 7036^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66744407) 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, 83031 + ... + 83830.

Almost surely, 2^66744400 is an apocalyptic number.

It is an amenable number.

66744400 is an abundant number, since it is smaller than the sum of its proper divisors (93609982).

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

66744400 is a wasteful number, since it uses less digits than its factorization.

66744400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166879 (or 166868 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 66744400 is about 8169.7245975614. The cubic root of 66744400 is about 405.6376684370.

The spelling of 66744400 in words is "sixty-six million, seven hundred forty-four thousand, four hundred".