8066419200 has 540 divisors, whose sum is σ = 33604046190. Its totient is φ = 1842462720.

The previous prime is 8066419187. The next prime is 8066419211. The reversal of 8066419200 is 29146608.

8066419200 is a `hidden beast` number, since 8 + 0 + 6 + 641 + 9 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3947860224 + 4118558976 = 62832^2 + 64176^2 .

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 53 ways as a sum of consecutive naturals, for example, 5644086 + ... + 5645514.

Almost surely, 2^8066419200 is an apocalyptic number.

8066419200 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 8066419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16802023095).

8066419200 is an abundant number, since it is smaller than the sum of its proper divisors (25537626990).

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

8066419200 is a wasteful number, since it uses less digits than its factorization.

8066419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8066419200 is about 89813.2462390710. The cubic root of 8066419200 is about 2005.5196858534.

The spelling of 8066419200 in words is "eight billion, sixty-six million, four hundred nineteen thousand, two hundred".