8190000000 has 768 divisors, whose sum is σ = 36257719680. Its totient is φ = 1728000000.

The previous prime is 8189999963. The next prime is 8190000041. The reversal of 8190000000 is 918.

It is a super-2 number, since 2×8190000000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3250 × 3150 × 800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 629999994 + ... + 630000006.

Almost surely, 2^8190000000 is an apocalyptic number.

8190000000 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 8190000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18128859840).

8190000000 is an abundant number, since it is smaller than the sum of its proper divisors (28067719680).

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

8190000000 is an frugal number, since it uses more digits than its factorization.

8190000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 8190000000 is about 90498.6187739901. The cubic root of 8190000000 is about 2015.7096142593.

Adding to 8190000000 its reverse (918), we get a palindrome (8190000918).

The spelling of 8190000000 in words is "eight billion, one hundred ninety million", and thus it is an aban number.