9908090640 has 320 divisors, whose sum is σ = 39103449600. Its totient is φ = 2258896896.

The previous prime is 9908090609. The next prime is 9908090657. The reversal of 9908090640 is 460908099.

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

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, 9268026 + ... + 9269094.

It is an arithmetic number, because the mean of its divisors is an integer number (122198280).

Almost surely, 2^9908090640 is an apocalyptic number.

9908090640 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 9908090640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19551724800).

9908090640 is an abundant number, since it is smaller than the sum of its proper divisors (29195358960).

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

9908090640 is a wasteful number, since it uses less digits than its factorization.

9908090640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1699 counting only the distinct ones).

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

The square root of 9908090640 is about 99539.3924032089. The cubic root of 9908090640 is about 2147.8139410015.

The spelling of 9908090640 in words is "nine billion, nine hundred eight million, ninety thousand, six hundred forty".