8444533920 has 192 divisors, whose sum is σ = 27535334400. Its totient is φ = 2173132800.

The previous prime is 8444533901. The next prime is 8444533949. The reversal of 8444533920 is 293354448.

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, 8049556 + ... + 8050604.

It is an arithmetic number, because the mean of its divisors is an integer number (143413200).

Almost surely, 2^8444533920 is an apocalyptic number.

8444533920 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 8444533920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13767667200).

8444533920 is an abundant number, since it is smaller than the sum of its proper divisors (19090800480).

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

8444533920 is a wasteful number, since it uses less digits than its factorization.

8444533920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 8444533920 is about 91894.1451889074. The cubic root of 8444533920 is about 2036.3787737260.

The spelling of 8444533920 in words is "eight billion, four hundred forty-four million, five hundred thirty-three thousand, nine hundred twenty".