8002676682 has 192 divisors, whose sum is σ = 23353214976. Its totient is φ = 1912740480.

The previous prime is 8002676677. The next prime is 8002676791. The reversal of 8002676682 is 2866762008.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 9062613 + ... + 9063495.

It is an arithmetic number, because the mean of its divisors is an integer number (121631328).

Almost surely, 2^8002676682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8002676682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11676607488).

8002676682 is an abundant number, since it is smaller than the sum of its proper divisors (15350538294).

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

8002676682 is a wasteful number, since it uses less digits than its factorization.

8002676682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 8002676682 is about 89457.6809558576. The cubic root of 8002676682 is about 2000.2230319608.

The spelling of 8002676682 in words is "eight billion, two million, six hundred seventy-six thousand, six hundred eighty-two".