8044821792 has 288 divisors, whose sum is σ = 27785721600. Its totient is φ = 2158700544.

The previous prime is 8044821791. The next prime is 8044821809. The reversal of 8044821792 is 2971284408.

8044821792 is a `hidden beast` number, since 80 + 4 + 482 + 1 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (8044821791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2161309 + ... + 2165027.

It is an arithmetic number, because the mean of its divisors is an integer number (96478200).

Almost surely, 2^8044821792 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 8044821792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13892860800).

8044821792 is an abundant number, since it is smaller than the sum of its proper divisors (19740899808).

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

8044821792 is a wasteful number, since it uses less digits than its factorization.

8044821792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8044821792 is about 89692.9305575417. The cubic root of 8044821792 is about 2003.7281952949.

The spelling of 8044821792 in words is "eight billion, forty-four million, eight hundred twenty-one thousand, seven hundred ninety-two".