8105738040 has 160 divisors (see below), whose sum is σ = 28847087280. Its totient is φ = 2034367488.

The previous prime is 8105737999. The next prime is 8105738063. The reversal of 8105738040 is 408375018.

8105738040 is a `hidden beast` number, since 8 + 1 + 0 + 573 + 80 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8105737986 and 8105738004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18502 + ... + 128661.

Almost surely, 2^8105738040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8105738040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14423543640).

8105738040 is an abundant number, since it is smaller than the sum of its proper divisors (20741349240).

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

8105738040 is a wasteful number, since it uses less digits than its factorization.

8105738040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147203 (or 147190 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8105738040 is about 90031.8723564050. The cubic root of 8105738040 is about 2008.7729646118.

The spelling of 8105738040 in words is "eight billion, one hundred five million, seven hundred thirty-eight thousand, forty".