8163680889936 has 640 divisors, whose sum is σ = 26561099980800. Its totient is φ = 2126093598720.

The previous prime is 8163680889899. The next prime is 8163680889937. The reversal of 8163680889936 is 6399880863618.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8163680889937) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 676187196 + ... + 676199268.

It is an arithmetic number, because the mean of its divisors is an integer number (41501718720).

Almost surely, 2^{8163680889936} is an apocalyptic number.

8163680889936 is a gapful number since it is divisible by the number (86) 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 8163680889936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280549990400).

8163680889936 is an abundant number, since it is smaller than the sum of its proper divisors (18397419090864).

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

8163680889936 is a wasteful number, since it uses less digits than its factorization.

8163680889936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12259 (or 12253 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 75.

The spelling of 8163680889936 in words is "eight trillion, one hundred sixty-three billion, six hundred eighty million, eight hundred eighty-nine thousand, nine hundred thirty-six".