8002336567680 has 2048 divisors, whose sum is σ = 36259666329600. Its totient is φ = 1622504079360.

The previous prime is 8002336567663. The next prime is 8002336567703. The reversal of 8002336567680 is 867656332008.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8140728469 + ... + 8140729451.

It is an arithmetic number, because the mean of its divisors is an integer number (17704915200).

Almost surely, 2^{8002336567680} is an apocalyptic number.

8002336567680 is a gapful number since it is divisible by the number (80) 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 8002336567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18129833164800).

8002336567680 is an abundant number, since it is smaller than the sum of its proper divisors (28257329761920).

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

8002336567680 is a wasteful number, since it uses less digits than its factorization.

8002336567680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 8002336567680 in words is "eight trillion, two billion, three hundred thirty-six million, five hundred sixty-seven thousand, six hundred eighty".