9904279968 has 384 divisors, whose sum is σ = 33965568000. Its totient is φ = 2774200320.

The previous prime is 9904279937. The next prime is 9904279969. The reversal of 9904279968 is 8699724099.

It is not an unprimeable number, because it can be changed into a prime (9904279969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9531993 + ... + 9533031.

It is an arithmetic number, because the mean of its divisors is an integer number (88452000).

Almost surely, 2^9904279968 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 9904279968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982784000).

9904279968 is an abundant number, since it is smaller than the sum of its proper divisors (24061288032).

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

9904279968 is a wasteful number, since it uses less digits than its factorization.

9904279968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The square root of 9904279968 is about 99520.2490350582. The cubic root of 9904279968 is about 2147.5385544768.

The spelling of 9904279968 in words is "nine billion, nine hundred four million, two hundred seventy-nine thousand, nine hundred sixty-eight".