9904972896 has 480 divisors, whose sum is σ = 36626990400. Its totient is φ = 2609252352.

The previous prime is 9904972877. The next prime is 9904972919. The reversal of 9904972896 is 6982794099.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11557300 + ... + 11558156.

It is an arithmetic number, because the mean of its divisors is an integer number (76306230).

Almost surely, 2^9904972896 is an apocalyptic number.

9904972896 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 9904972896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18313495200).

9904972896 is an abundant number, since it is smaller than the sum of its proper divisors (26722017504).

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

9904972896 is a wasteful number, since it uses less digits than its factorization.

9904972896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 882 counting only the distinct ones).

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

The square root of 9904972896 is about 99523.7303159402. The cubic root of 9904972896 is about 2147.5886356841.

The spelling of 9904972896 in words is "nine billion, nine hundred four million, nine hundred seventy-two thousand, eight hundred ninety-six".