66738144 has 48 divisors (see below), whose sum is σ = 191116800. Its totient is φ = 20223360.

The previous prime is 66738137. The next prime is 66738149. The reversal of 66738144 is 44183766.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66738149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30544 + ... + 32655.

It is an arithmetic number, because the mean of its divisors is an integer number (3981600).

Almost surely, 2^66738144 is an apocalyptic number.

It is an amenable number.

66738144 is an abundant number, since it is smaller than the sum of its proper divisors (124378656).

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

66738144 is a wasteful number, since it uses less digits than its factorization.

66738144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63223 (or 63215 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 66738144 is about 8169.3417115457. The cubic root of 66738144 is about 405.6249944722.

The spelling of 66738144 in words is "sixty-six million, seven hundred thirty-eight thousand, one hundred forty-four".