9968000029 has 16 divisors (see below), whose sum is σ = 11024536320. Its totient is φ = 8955051840.

The previous prime is 9968000011. The next prime is 9968000033. The reversal of 9968000029 is 9200008699.

It is a cyclic number.

It is not a de Polignac number, because 9968000029 - 2⁷ = 9967999901 is a prime.

It is a super-2 number, since 2×9968000029² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9968000629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63799 + ... + 154939.

It is an arithmetic number, because the mean of its divisors is an integer number (689033520).

Almost surely, 2^9968000029 is an apocalyptic number.

It is an amenable number.

9968000029 is a deficient number, since it is larger than the sum of its proper divisors (1056536291).

9968000029 is a wasteful number, since it uses less digits than its factorization.

9968000029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91380.

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 9968000029 is about 99839.8719400220. The cubic root of 9968000029 is about 2152.1341728145.

The spelling of 9968000029 in words is "nine billion, nine hundred sixty-eight million, twenty-nine", and thus it is an aban number.