8190823680 has 720 divisors, whose sum is σ = 32409336960. Its totient is φ = 1962786816.

The previous prime is 8190823631. The next prime is 8190823691. The reversal of 8190823680 is 863280918.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79522509 + ... + 79522611.

It is an arithmetic number, because the mean of its divisors is an integer number (45012968).

Almost surely, 2^8190823680 is an apocalyptic number.

8190823680 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 8190823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204668480).

8190823680 is an abundant number, since it is smaller than the sum of its proper divisors (24218513280).

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

8190823680 is a wasteful number, since it uses less digits than its factorization.

8190823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8190823680 is about 90503.1694472630. The cubic root of 8190823680 is about 2015.7771862593. Note that the first 3 decimals are identical.

The spelling of 8190823680 in words is "eight billion, one hundred ninety million, eight hundred twenty-three thousand, six hundred eighty".