9786919120 has 80 divisors (see below), whose sum is σ = 24844927680. Its totient is φ = 3555763200.

The previous prime is 9786919069. The next prime is 9786919127. The reversal of 9786919120 is 219196879.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×9786919120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9786919127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1158271 + ... + 1166689.

It is an arithmetic number, because the mean of its divisors is an integer number (310561596).

Almost surely, 2^9786919120 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 9786919120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12422463840).

9786919120 is an abundant number, since it is smaller than the sum of its proper divisors (15058008560).

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

9786919120 is a wasteful number, since it uses less digits than its factorization.

9786919120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9764 (or 9758 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 52.

The square root of 9786919120 is about 98928.8588835432. The cubic root of 9786919120 is about 2139.0224026379.

The spelling of 9786919120 in words is "nine billion, seven hundred eighty-six million, nine hundred nineteen thousand, one hundred twenty".