8005644040 has 64 divisors (see below), whose sum is σ = 18874373760. Its totient is φ = 3050234880.

The previous prime is 8005644037. The next prime is 8005644043. The reversal of 8005644040 is 404465008.

It is an interprime number because it is at equal distance from previous prime (8005644037) and next prime (8005644043).

It is a junction number, because it is equal to n+sod(n) for n = 8005643993 and 8005644011.

It is not an unprimeable number, because it can be changed into a prime (8005644043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203667 + ... + 239773.

It is an arithmetic number, because the mean of its divisors is an integer number (294912090).

Almost surely, 2^8005644040 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 8005644040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9437186880).

8005644040 is an abundant number, since it is smaller than the sum of its proper divisors (10868729720).

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

8005644040 is a wasteful number, since it uses less digits than its factorization.

8005644040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36382 (or 36378 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 8005644040 is about 89474.2646798508. The cubic root of 8005644040 is about 2000.4702261017.

The spelling of 8005644040 in words is "eight billion, five million, six hundred forty-four thousand, forty".