9107869680 has 1080 divisors, whose sum is σ = 41297080032. Its totient is φ = 1759739904.

The previous prime is 9107869541. The next prime is 9107869699. The reversal of 9107869680 is 869687019.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 246158622 + ... + 246158658.

Almost surely, 2^9107869680 is an apocalyptic number.

9107869680 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 9107869680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20648540016).

9107869680 is an abundant number, since it is smaller than the sum of its proper divisors (32189210352).

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

9107869680 is a wasteful number, since it uses less digits than its factorization.

9107869680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 9107869680 is about 95435.1595587287. The cubic root of 9107869680 is about 2088.3611367245.

The spelling of 9107869680 in words is "nine billion, one hundred seven million, eight hundred sixty-nine thousand, six hundred eighty".