8189603840 has 104 divisors (see below), whose sum is σ = 21439844208. Its totient is φ = 2977955840.

The previous prime is 8189603833. The next prime is 8189603867. The reversal of 8189603840 is 483069818.

It is a super-2 number, since 2×8189603840² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207104 + ... + 243456.

Almost surely, 2^8189603840 is an apocalyptic number.

8189603840 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 8189603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10719922104).

8189603840 is an abundant number, since it is smaller than the sum of its proper divisors (13250240368).

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

8189603840 is a wasteful number, since it uses less digits than its factorization.

8189603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36393 (or 36371 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The square root of 8189603840 is about 90496.4299848342. The cubic root of 8189603840 is about 2015.6771129815.

The spelling of 8189603840 in words is "eight billion, one hundred eighty-nine million, six hundred three thousand, eight hundred forty".