66742805319129 has 27 divisors (see below), whose sum is σ = 97644886852149. Its totient is φ = 43930698659640.

The previous prime is 66742805319107. The next prime is 66742805319131. The reversal of 66742805319129 is 92191350824766.

The square root of 66742805319129 is 8169627.

It is a perfect power (a square), and thus also a powerful number.

66742805319129 is a `hidden beast` number, since 6 + 6 + 7 + 4 + 2 + 8 + 0 + 531 + 91 + 2 + 9 = 666.

It is not a de Polignac number, because 66742805319129 - 2²⁹ = 66742268448217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66742805319149) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1936184364 + ... + 1936218834.

It is a 1-persistent number, because it is pandigital, but 2⋅66742805319129 = 133485610638258 is not.

Almost surely, 2^{66742805319129} is an apocalyptic number.

66742805319129 is the 8169627-th square number.

66742805319129 is the 4084814-th centered octagonal number.

It is an amenable number.

66742805319129 is a deficient number, since it is larger than the sum of its proper divisors (30902081533020).

66742805319129 is an frugal number, since it uses more digits than its factorization.

66742805319129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69106 (or 34553 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 66742805319129 in words is "sixty-six trillion, seven hundred forty-two billion, eight hundred five million, three hundred nineteen thousand, one hundred twenty-nine".