9909406080 has 1024 divisors, whose sum is σ = 43711488000. Its totient is φ = 2070282240.

The previous prime is 9909406079. The next prime is 9909406103. The reversal of 9909406080 is 806049099.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 125435481 + ... + 125435559.

It is an arithmetic number, because the mean of its divisors is an integer number (42687000).

Almost surely, 2^9909406080 is an apocalyptic number.

9909406080 is a gapful number since it is divisible by the number (90) 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 9909406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21855744000).

9909406080 is an abundant number, since it is smaller than the sum of its proper divisors (33802081920).

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

9909406080 is a wasteful number, since it uses less digits than its factorization.

9909406080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9909406080 is about 99545.9998191791. Note that the first 3 decimals coincide. The cubic root of 9909406080 is about 2147.9089877483.

The spelling of 9909406080 in words is "nine billion, nine hundred nine million, four hundred six thousand, eighty".