66729385413 has 10 divisors (see below), whose sum is σ = 99682168454. Its totient is φ = 44486256888.

The previous prime is 66729385403. The next prime is 66729385427. The reversal of 66729385413 is 31458392766.

66729385413 is a `hidden beast` number, since 6 + 6 + 7 + 2 + 93 + 8 + 541 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34046892324 + 32682493089 = 184518^2 + 180783^2 .

It is not a de Polignac number, because 66729385413 - 2⁹ = 66729384901 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 66729385413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66729385403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 411909706 + ... + 411909867.

Almost surely, 2^66729385413 is an apocalyptic number.

It is an amenable number.

66729385413 is a deficient number, since it is larger than the sum of its proper divisors (32952783041).

66729385413 is an equidigital number, since it uses as much as digits as its factorization.

66729385413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823819585 (or 823819576 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 66729385413 in words is "sixty-six billion, seven hundred twenty-nine million, three hundred eighty-five thousand, four hundred thirteen".