8302763880768 has 672 divisors, whose sum is σ = 27840753868800. Its totient is φ = 2169093427200.

The previous prime is 8302763880739. The next prime is 8302763880791. The reversal of 8302763880768 is 8670883672038.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 8302763880699 and 8302763880708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2332890573 + ... + 2332894131.

Almost surely, 2^{8302763880768} 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 8302763880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13920376934400).

8302763880768 is an abundant number, since it is smaller than the sum of its proper divisors (19537989988032).

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

8302763880768 is a wasteful number, since it uses less digits than its factorization.

8302763880768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4059 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 66.

The spelling of 8302763880768 in words is "eight trillion, three hundred two billion, seven hundred sixty-three million, eight hundred eighty thousand, seven hundred sixty-eight".