8081863680 has 352 divisors, whose sum is σ = 29127794688. Its totient is φ = 1894809600.

The previous prime is 8081863667. The next prime is 8081863681. The reversal of 8081863680 is 863681808.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8081863681) 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, 5236989 + ... + 5238531.

Almost surely, 2^8081863680 is an apocalyptic number.

8081863680 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 8081863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14563897344).

8081863680 is an abundant number, since it is smaller than the sum of its proper divisors (21045931008).

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

8081863680 is a wasteful number, since it uses less digits than its factorization.

8081863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 8081863680 is about 89899.1862032132. The cubic root of 8081863680 is about 2006.7988350650.

The spelling of 8081863680 in words is "eight billion, eighty-one million, eight hundred sixty-three thousand, six hundred eighty".