8017940736 has 144 divisors (see below), whose sum is σ = 25534629120. Its totient is φ = 2467031040.

The previous prime is 8017940731. The next prime is 8017940761. The reversal of 8017940736 is 6370497108.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 8017940691 and 8017940700.

It is not an unprimeable number, because it can be changed into a prime (8017940731) 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 15 ways as a sum of consecutive naturals, for example, 45241 + ... + 134471.

Almost surely, 2^8017940736 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 8017940736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767314560).

8017940736 is an abundant number, since it is smaller than the sum of its proper divisors (17516688384).

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

8017940736 is a wasteful number, since it uses less digits than its factorization.

8017940736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89269 (or 89249 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 8017940736 is about 89542.9546977315. The cubic root of 8017940736 is about 2001.4939451195.

It can be divided in two parts, 8017 and 940736, that added together give a triangular number (948753 = T₁₃₇₇).

The spelling of 8017940736 in words is "eight billion, seventeen million, nine hundred forty thousand, seven hundred thirty-six".