8681726166080 has 224 divisors, whose sum is σ = 22977236321280. Its totient is φ = 3097768826880.

The previous prime is 8681726166053. The next prime is 8681726166089. The reversal of 8681726166080 is 806616271868.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is not an unprimeable number, because it can be changed into a prime (8681726166089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113562749 + ... + 113639171.

Almost surely, 2^{8681726166080} is an apocalyptic number.

8681726166080 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 8681726166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11488618160640).

8681726166080 is an abundant number, since it is smaller than the sum of its proper divisors (14295510155200).

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

8681726166080 is a wasteful number, since it uses less digits than its factorization.

8681726166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77057 (or 77047 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 59.

The spelling of 8681726166080 in words is "eight trillion, six hundred eighty-one billion, seven hundred twenty-six million, one hundred sixty-six thousand, eighty".