8247782436768 has 480 divisors, whose sum is σ = 27937429027200. Its totient is φ = 2338241955840.

The previous prime is 8247782436731. The next prime is 8247782436781. The reversal of 8247782436768 is 8676342877428.

8247782436768 is a `hidden beast` number, since 8 + 2 + 47 + 7 + 82 + 436 + 76 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8247782436696 and 8247782436705.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1336102930 + ... + 1336109102.

It is an arithmetic number, because the mean of its divisors is an integer number (58202977140).

Almost surely, 2^{8247782436768} 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 8247782436768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13968714513600).

8247782436768 is an abundant number, since it is smaller than the sum of its proper divisors (19689646590432).

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

8247782436768 is a wasteful number, since it uses less digits than its factorization.

8247782436768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6762 (or 6745 counting only the distinct ones).

The product of its digits is 1213857792, while the sum is 72.

The spelling of 8247782436768 in words is "eight trillion, two hundred forty-seven billion, seven hundred eighty-two million, four hundred thirty-six thousand, seven hundred sixty-eight".