9900729960 has 256 divisors, whose sum is σ = 35801948160. Its totient is φ = 2160660480.

The previous prime is 9900729959. The next prime is 9900730003. The reversal of 9900729960 is 699270099.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 506529 + ... + 525711.

It is an arithmetic number, because the mean of its divisors is an integer number (139851360).

Almost surely, 2^9900729960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9900729960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17900974080).

9900729960 is an abundant number, since it is smaller than the sum of its proper divisors (25901218200).

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

9900729960 is a wasteful number, since it uses less digits than its factorization.

9900729960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19248 (or 19244 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 51.

The square root of 9900729960 is about 99502.4118300657. The cubic root of 9900729960 is about 2147.2819418433.

The spelling of 9900729960 in words is "nine billion, nine hundred million, seven hundred twenty-nine thousand, nine hundred sixty".