66129744 has 40 divisors (see below), whose sum is σ = 176729760. Its totient is φ = 21282688.

The previous prime is 66129731. The next prime is 66129781. The reversal of 66129744 is 44792166.

It is a happy number.

66129744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 22362 + ... + 25145.

It is an arithmetic number, because the mean of its divisors is an integer number (4418244).

Almost surely, 2^66129744 is an apocalyptic number.

It is an amenable number.

66129744 is an abundant number, since it is smaller than the sum of its proper divisors (110600016).

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

66129744 is a wasteful number, since it uses less digits than its factorization.

66129744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47547 (or 47541 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 66129744 is about 8132.0196753328. The cubic root of 66129744 is about 404.3886401648.

The spelling of 66129744 in words is "sixty-six million, one hundred twenty-nine thousand, seven hundred forty-four".