9785791872 has 128 divisors (see below), whose sum is σ = 30580783200. Its totient is φ = 3070033920.

The previous prime is 9785791867. The next prime is 9785791921. The reversal of 9785791872 is 2781975879.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24529 + ... + 142032.

Almost surely, 2^9785791872 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 9785791872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15290391600).

9785791872 is an abundant number, since it is smaller than the sum of its proper divisors (20794991328).

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

9785791872 is a wasteful number, since it uses less digits than its factorization.

9785791872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166601 (or 166583 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 63.

The square root of 9785791872 is about 98923.1614537263. The cubic root of 9785791872 is about 2138.9402759654.

The spelling of 9785791872 in words is "nine billion, seven hundred eighty-five million, seven hundred ninety-one thousand, eight hundred seventy-two".