9429729957 has 24 divisors (see below), whose sum is σ = 14445944448. Its totient is φ = 5914576800.

The previous prime is 9429729941. The next prime is 9429729971. The reversal of 9429729957 is 7599279249.

9429729957 is a `hidden beast` number, since 9 + 4 + 297 + 299 + 57 = 666.

It is not a de Polignac number, because 9429729957 - 2⁴ = 9429729941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9429729894 and 9429729903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9429729937) 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 23 ways as a sum of consecutive naturals, for example, 360769 + ... + 386022.

It is an arithmetic number, because the mean of its divisors is an integer number (601914352).

Almost surely, 2^9429729957 is an apocalyptic number.

It is an amenable number.

9429729957 is a deficient number, since it is larger than the sum of its proper divisors (5016214491).

9429729957 is a wasteful number, since it uses less digits than its factorization.

9429729957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746881 (or 746878 counting only the distinct ones).

The product of its digits is 25719120, while the sum is 63.

The square root of 9429729957 is about 97106.7966570827. The cubic root of 9429729957 is about 2112.6769073841.

The spelling of 9429729957 in words is "nine billion, four hundred twenty-nine million, seven hundred twenty-nine thousand, nine hundred fifty-seven".