8064133056 has 336 divisors, whose sum is σ = 28553054400. Its totient is φ = 2168506368.

The previous prime is 8064133031. The next prime is 8064133057. The reversal of 8064133056 is 6503314608.

8064133056 is a `hidden beast` number, since 8 + 0 + 641 + 3 + 3 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

8064133056 is a modest number, since divided by 133056 gives 8064 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 8064133056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8064133057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474360760 + ... + 474360776.

Almost surely, 2^8064133056 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 8064133056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14276527200).

8064133056 is an abundant number, since it is smaller than the sum of its proper divisors (20488921344).

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

8064133056 is an frugal number, since it uses more digits than its factorization.

8064133056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 8064133056 is about 89800.5181276812. The cubic root of 8064133056 is about 2005.3302031806.

The spelling of 8064133056 in words is "eight billion, sixty-four million, one hundred thirty-three thousand, fifty-six".