8056376064 has 216 divisors, whose sum is σ = 25549934592. Its totient is φ = 2421135360.

The previous prime is 8056376039. The next prime is 8056376087. The reversal of 8056376064 is 4606736508.

8056376064 is a `hidden beast` number, since 8 + 0 + 5 + 6 + 37 + 606 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3217437 + ... + 3219939.

Almost surely, 2^8056376064 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 8056376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12774967296).

8056376064 is an abundant number, since it is smaller than the sum of its proper divisors (17493558528).

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

8056376064 is a wasteful number, since it uses less digits than its factorization.

8056376064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 8056376064 is about 89757.3176069784. The cubic root of 8056376064 is about 2004.6870127089.

The spelling of 8056376064 in words is "eight billion, fifty-six million, three hundred seventy-six thousand, sixty-four".