8191966705776 has 640 divisors, whose sum is σ = 28150098278400. Its totient is φ = 2231485562880.

The previous prime is 8191966705753. The next prime is 8191966705913. The reversal of 8191966705776 is 6775076691918.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5214491071 + ... + 5214492641.

It is an arithmetic number, because the mean of its divisors is an integer number (43984528560).

Almost surely, 2^{8191966705776} 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 8191966705776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14075049139200).

8191966705776 is an abundant number, since it is smaller than the sum of its proper divisors (19958131572624).

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

8191966705776 is a wasteful number, since it uses less digits than its factorization.

8191966705776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 72.

The spelling of 8191966705776 in words is "eight trillion, one hundred ninety-one billion, nine hundred sixty-six million, seven hundred five thousand, seven hundred seventy-six".