8104801398768 has 280 divisors, whose sum is σ = 24792272419200. Its totient is φ = 2558449037952.

The previous prime is 8104801398719. The next prime is 8104801398781. The reversal of 8104801398768 is 8678931084018.

8104801398768 is a `hidden beast` number, since 8 + 1 + 0 + 480 + 1 + 3 + 98 + 7 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 799363843 + ... + 799373981.

Almost surely, 2^{8104801398768} 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 8104801398768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12396136209600).

8104801398768 is an abundant number, since it is smaller than the sum of its proper divisors (16687471020432).

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

8104801398768 is a wasteful number, since it uses less digits than its factorization.

8104801398768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13791 (or 13770 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 8104801398768 in words is "eight trillion, one hundred four billion, eight hundred one million, three hundred ninety-eight thousand, seven hundred sixty-eight".