9981074760360 has 768 divisors, whose sum is σ = 34744240742400. Its totient is φ = 2289095424000.

The previous prime is 9981074760337. The next prime is 9981074760379. The reversal of 9981074760360 is 630674701899.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 9981074760294 and 9981074760303.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4191966370 + ... + 4191968750.

It is an arithmetic number, because the mean of its divisors is an integer number (45239896800).

Almost surely, 2^{9981074760360} 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 9981074760360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17372120371200).

9981074760360 is an abundant number, since it is smaller than the sum of its proper divisors (24763165982040).

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

9981074760360 is a wasteful number, since it uses less digits than its factorization.

9981074760360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 60.

The spelling of 9981074760360 in words is "nine trillion, nine hundred eighty-one billion, seventy-four million, seven hundred sixty thousand, three hundred sixty".