8066733408 has 96 divisors (see below), whose sum is σ = 23595516000. Its totient is φ = 2681192448.

The previous prime is 8066733407. The next prime is 8066733413. The reversal of 8066733408 is 8043376608.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8066733407) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 291768 + ... + 318216.

It is an arithmetic number, because the mean of its divisors is an integer number (245786625).

Almost surely, 2^8066733408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8066733408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11797758000).

8066733408 is an abundant number, since it is smaller than the sum of its proper divisors (15528782592).

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

8066733408 is a wasteful number, since it uses less digits than its factorization.

8066733408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26821 (or 26807 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 8066733408 is about 89814.9954517618. The cubic root of 8066733408 is about 2005.5457255839.

The spelling of 8066733408 in words is "eight billion, sixty-six million, seven hundred thirty-three thousand, four hundred eight".