8681808199680 has 2240 divisors, whose sum is σ = 39608955936000. Its totient is φ = 1773435617280.

The previous prime is 8681808199663. The next prime is 8681808199697. The reversal of 8681808199680 is 869918081868.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8681808199663) and next prime (8681808199697).

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a junction number, because it is equal to n+sod(n) for n = 8681808199599 and 8681808199608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 147149291491 + ... + 147149291549.

Almost surely, 2^{8681808199680} is an apocalyptic number.

8681808199680 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 8681808199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19804477968000).

8681808199680 is an abundant number, since it is smaller than the sum of its proper divisors (30927147736320).

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

8681808199680 is an frugal number, since it uses more digits than its factorization.

8681808199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 72.

The spelling of 8681808199680 in words is "eight trillion, six hundred eighty-one billion, eight hundred eight million, one hundred ninety-nine thousand, six hundred eighty".