8191072994760 has 768 divisors, whose sum is σ = 28414263870720. Its totient is φ = 2121541632000.

The previous prime is 8191072994737. The next prime is 8191072994771. The reversal of 8191072994760 is 674992701918.

8191072994760 is a `hidden beast` number, since 8 + 1 + 9 + 1 + 0 + 72 + 99 + 476 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29149725820 + ... + 29149726100.

It is an arithmetic number, because the mean of its divisors is an integer number (36997739415).

Almost surely, 2^{8191072994760} 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 8191072994760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14207131935360).

8191072994760 is an abundant number, since it is smaller than the sum of its proper divisors (20223190875960).

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

8191072994760 is a wasteful number, since it uses less digits than its factorization.

8191072994760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 8191072994760 in words is "eight trillion, one hundred ninety-one billion, seventy-two million, nine hundred ninety-four thousand, seven hundred sixty".