8026944000 has 320 divisors, whose sum is σ = 27025270272. Its totient is φ = 2113536000.

The previous prime is 8026943999. The next prime is 8026944019. The reversal of 8026944000 is 4496208.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18623785 + ... + 18624215.

Almost surely, 2^8026944000 is an apocalyptic number.

8026944000 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 8026944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13512635136).

8026944000 is an abundant number, since it is smaller than the sum of its proper divisors (18998326272).

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

8026944000 is an equidigital number, since it uses as much as digits as its factorization.

8026944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 8026944000 is about 89593.2140287422. The cubic root of 8026944000 is about 2002.2428172785.

The spelling of 8026944000 in words is "eight billion, twenty-six million, nine hundred forty-four thousand".