9991876896 has 144 divisors (see below), whose sum is σ = 28821966264. Its totient is φ = 3283218432.

The previous prime is 9991876877. The next prime is 9991876901. The reversal of 9991876896 is 6986781999.

It can be written as a sum of positive squares in 4 ways, for example, as 8531108496 + 1460768400 = 92364^2 + 38220^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6193786 + ... + 6195398.

Almost surely, 2^9991876896 is an apocalyptic number.

9991876896 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 9991876896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14410983132).

9991876896 is an abundant number, since it is smaller than the sum of its proper divisors (18830089368).

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

9991876896 is a wasteful number, since it uses less digits than its factorization.

9991876896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1912 counting only the distinct ones).

The product of its digits is 105815808, while the sum is 72.

The square root of 9991876896 is about 99959.3762285460. The cubic root of 9991876896 is about 2153.8511754367.

The spelling of 9991876896 in words is "nine billion, nine hundred ninety-one million, eight hundred seventy-six thousand, eight hundred ninety-six".