9981346760 has 384 divisors, whose sum is σ = 30337597440. Its totient is φ = 2869516800.

The previous prime is 9981346751. The next prime is 9981346769. The reversal of 9981346760 is 676431899.

9981346760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9981346751) and next prime (9981346769).

It is not an unprimeable number, because it can be changed into a prime (9981346769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52258265 + ... + 52258455.

It is an arithmetic number, because the mean of its divisors is an integer number (79004160).

Almost surely, 2^9981346760 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 9981346760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168798720).

9981346760 is an abundant number, since it is smaller than the sum of its proper divisors (20356250680).

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

9981346760 is a wasteful number, since it uses less digits than its factorization.

9981346760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 53.

The square root of 9981346760 is about 99906.6902664681. The cubic root of 9981346760 is about 2153.0942833439.

The spelling of 9981346760 in words is "nine billion, nine hundred eighty-one million, three hundred forty-six thousand, seven hundred sixty".