7612729128 has 48 divisors (see below), whose sum is σ = 20627872980. Its totient is φ = 2536337664.

The previous prime is 7612729121. The next prime is 7612729171. The reversal of 7612729128 is 8219272167.

It is a happy number.

7612729128 is a `hidden beast` number, since 7 + 612 + 7 + 2 + 9 + 1 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6285001284 + 1327727844 = 79278^2 + 36438^2 .

It is not an unprimeable number, because it can be changed into a prime (7612729121) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 129126 + ... + 178602.

Almost surely, 2^7612729128 is an apocalyptic number.

It is an amenable number.

7612729128 is an abundant number, since it is smaller than the sum of its proper divisors (13015143852).

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

7612729128 is a wasteful number, since it uses less digits than its factorization.

7612729128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51626 (or 51619 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 7612729128 is about 87250.9548830269. The cubic root of 7612729128 is about 1967.1921939952.

The spelling of 7612729128 in words is "seven billion, six hundred twelve million, seven hundred twenty-nine thousand, one hundred twenty-eight".