8047944000 has 896 divisors, whose sum is σ = 32523379200. Its totient is φ = 1940889600.

The previous prime is 8047943977. The next prime is 8047944013. The reversal of 8047944000 is 4497408.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 151847974 + ... + 151848026.

Almost surely, 2^8047944000 is an apocalyptic number.

8047944000 is a gapful number since it is divisible by the number (80) 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 8047944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16261689600).

8047944000 is an abundant number, since it is smaller than the sum of its proper divisors (24475435200).

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

8047944000 is a wasteful number, since it uses less digits than its factorization.

8047944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8047944000 is about 89710.3338529068. Note that the first 3 decimals coincide. The cubic root of 8047944000 is about 2003.9873784568.

The spelling of 8047944000 in words is "eight billion, forty-seven million, nine hundred forty-four thousand".