9729662976 has 560 divisors, whose sum is σ = 33493667328. Its totient is φ = 2786918400.

The previous prime is 9729662927. The next prime is 9729662977. The reversal of 9729662976 is 6792669279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9729662977) 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 39 ways as a sum of consecutive naturals, for example, 226271211 + ... + 226271253.

Almost surely, 2^9729662976 is an apocalyptic number.

9729662976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9729662976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16746833664).

9729662976 is an abundant number, since it is smaller than the sum of its proper divisors (23764004352).

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

9729662976 is a wasteful number, since it uses less digits than its factorization.

9729662976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 90 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 63.

The square root of 9729662976 is about 98639.0540100624. The cubic root of 9729662976 is about 2134.8429537107.

The spelling of 9729662976 in words is "nine billion, seven hundred twenty-nine million, six hundred sixty-two thousand, nine hundred seventy-six".