8066448000 has 768 divisors, whose sum is σ = 32435020800. Its totient is φ = 1907712000.

The previous prime is 8066447999. The next prime is 8066448011. The reversal of 8066448000 is 8446608.

8066448000 is a `hidden beast` number, since 8 + 0 + 6 + 644 + 8 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58031931 + ... + 58032069.

It is an arithmetic number, because the mean of its divisors is an integer number (42233100).

Almost surely, 2^8066448000 is an apocalyptic number.

8066448000 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 8066448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16217510400).

8066448000 is an abundant number, since it is smaller than the sum of its proper divisors (24368572800).

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

8066448000 is a wasteful number, since it uses less digits than its factorization.

8066448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8066448000 is about 89813.4065716249. The cubic root of 8066448000 is about 2005.5220726579.

The spelling of 8066448000 in words is "eight billion, sixty-six million, four hundred forty-eight thousand".