8004079944 has 192 divisors, whose sum is σ = 26332525440. Its totient is φ = 2144102400.

The previous prime is 8004079913. The next prime is 8004079997. The reversal of 8004079944 is 4499704008.

It is a self number, because there is not a number n which added to its sum of digits gives 8004079944.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2423094 + ... + 2426394.

It is an arithmetic number, because the mean of its divisors is an integer number (137148570).

Almost surely, 2^8004079944 is an apocalyptic number.

8004079944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8004079944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13166262720).

8004079944 is an abundant number, since it is smaller than the sum of its proper divisors (18328445496).

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

8004079944 is a wasteful number, since it uses less digits than its factorization.

8004079944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8004079944 is about 89465.5237731273. The cubic root of 8004079944 is about 2000.3399375513.

The spelling of 8004079944 in words is "eight billion, four million, seventy-nine thousand, nine hundred forty-four".