8190733824 has 640 divisors, whose sum is σ = 31677972480. Its totient is φ = 2027814912.

The previous prime is 8190733799. The next prime is 8190733829. The reversal of 8190733824 is 4283370918.

It is a self number, because there is not a number n which added to its sum of digits gives 8190733824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8190733829) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 21385537 + ... + 21385919.

It is an arithmetic number, because the mean of its divisors is an integer number (49496832).

Almost surely, 2^8190733824 is an apocalyptic number.

8190733824 is a gapful number since it is divisible by the number (84) 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 8190733824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15838986240).

8190733824 is an abundant number, since it is smaller than the sum of its proper divisors (23487238656).

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

8190733824 is a wasteful number, since it uses less digits than its factorization.

8190733824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8190733824 is about 90502.6730212981. The cubic root of 8190733824 is about 2015.7698149885.

The spelling of 8190733824 in words is "eight billion, one hundred ninety million, seven hundred thirty-three thousand, eight hundred twenty-four".