73679128629 has 36 divisors (see below), whose sum is σ = 100881480672. Its totient is φ = 47830828320.

The previous prime is 73679128577. The next prime is 73679128651. The reversal of 73679128629 is 92682197637.

It is not a de Polignac number, because 73679128629 - 2²⁹ = 73142257717 is a prime.

It is a super-2 number, since 2×73679128629² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73679128729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 407066919 + ... + 407067099.

It is an arithmetic number, because the mean of its divisors is an integer number (2802263352).

Almost surely, 2^73679128629 is an apocalyptic number.

It is an amenable number.

73679128629 is a deficient number, since it is larger than the sum of its proper divisors (27202352043).

73679128629 is an equidigital number, since it uses as much as digits as its factorization.

73679128629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 418 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 60.

The spelling of 73679128629 in words is "seventy-three billion, six hundred seventy-nine million, one hundred twenty-eight thousand, six hundred twenty-nine".