66730772329 has 27 divisors (see below), whose sum is σ = 74781548037. Its totient is φ = 59517619200.

The previous prime is 66730772323. The next prime is 66730772341. The reversal of 66730772329 is 92327703766.

It is a happy number.

The square root of 66730772329 is 258323.

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

It can be written as a sum of positive squares in 4 ways, for example, as 399800025 + 66330972304 = 19995^2 + 257548^2 .

It is not a de Polignac number, because 66730772329 - 2¹⁹ = 66730248041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66730772323) 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, 104103849 + ... + 104104489.

Almost surely, 2^66730772329 is an apocalyptic number.

66730772329 is the 258323-rd square number.

66730772329 is the 129162-nd centered octagonal number.

It is an amenable number.

66730772329 is a deficient number, since it is larger than the sum of its proper divisors (8050775708).

66730772329 is an frugal number, since it uses more digits than its factorization.

66730772329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 52.

The spelling of 66730772329 in words is "sixty-six billion, seven hundred thirty million, seven hundred seventy-two thousand, three hundred twenty-nine".