9900874368 has 576 divisors, whose sum is σ = 36541377600. Its totient is φ = 2518179840.

The previous prime is 9900874367. The next prime is 9900874387. The reversal of 9900874368 is 8634780099.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9900874367) 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 71 ways as a sum of consecutive naturals, for example, 71229243 + ... + 71229381.

Almost surely, 2^9900874368 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 9900874368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18270688800).

9900874368 is an abundant number, since it is smaller than the sum of its proper divisors (26640503232).

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

9900874368 is a wasteful number, since it uses less digits than its factorization.

9900874368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9900874368 is about 99503.1374781720. The cubic root of 9900874368 is about 2147.2923815847.

The spelling of 9900874368 in words is "nine billion, nine hundred million, eight hundred seventy-four thousand, three hundred sixty-eight".