8249888768 has 208 divisors, whose sum is σ = 19815667200. Its totient is φ = 3390013440.

The previous prime is 8249888753. The next prime is 8249888771. The reversal of 8249888768 is 8678889428.

It is a junction number, because it is equal to n+sod(n) for n = 8249888698 and 8249888707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19689263 + ... + 19689681.

Almost surely, 2^8249888768 is an apocalyptic number.

8249888768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8249888768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9907833600).

8249888768 is an abundant number, since it is smaller than the sum of its proper divisors (11565778432).

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

8249888768 is a wasteful number, since it uses less digits than its factorization.

8249888768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 474 counting only the distinct ones).

The product of its digits is 99090432, while the sum is 68.

The square root of 8249888768 is about 90828.8983088532. The cubic root of 8249888768 is about 2020.6109291549.

The spelling of 8249888768 in words is "eight billion, two hundred forty-nine million, eight hundred eighty-eight thousand, seven hundred sixty-eight".