9904270992 has 320 divisors, whose sum is σ = 33956112384. Its totient is φ = 2408325120.

The previous prime is 9904270979. The next prime is 9904271011. The reversal of 9904270992 is 2990724099.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17781178 + ... + 17781734.

Almost surely, 2^9904270992 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 9904270992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16978056192).

9904270992 is an abundant number, since it is smaller than the sum of its proper divisors (24051841392).

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

9904270992 is a wasteful number, since it uses less digits than its factorization.

9904270992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 9904270992 is about 99520.2039386978. The cubic root of 9904270992 is about 2147.5379057232.

The spelling of 9904270992 in words is "nine billion, nine hundred four million, two hundred seventy thousand, nine hundred ninety-two".