8005486644 has 72 divisors (see below), whose sum is σ = 20912123232. Its totient is φ = 2580580800.

The previous prime is 8005486637. The next prime is 8005486649. The reversal of 8005486644 is 4466845008.

8005486644 is a `hidden beast` number, since 8 + 0 + 0 + 548 + 66 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8005486644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005486649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130747 + ... + 181949.

It is an arithmetic number, because the mean of its divisors is an integer number (290446156).

Almost surely, 2^8005486644 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 8005486644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456061616).

8005486644 is an abundant number, since it is smaller than the sum of its proper divisors (12906636588).

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

8005486644 is a wasteful number, since it uses less digits than its factorization.

8005486644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51357 (or 51352 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 8005486644 is about 89473.3851153515. The cubic root of 8005486644 is about 2000.4571158479.

The spelling of 8005486644 in words is "eight billion, five million, four hundred eighty-six thousand, six hundred forty-four".