8054936064 has 480 divisors, whose sum is σ = 28087488000. Its totient is φ = 2173796352.

The previous prime is 8054936063. The next prime is 8054936069. The reversal of 8054936064 is 4606394508.

It is not an unprimeable number, because it can be changed into a prime (8054936063) 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, 73898442 + ... + 73898550.

It is an arithmetic number, because the mean of its divisors is an integer number (58515600).

Almost surely, 2^8054936064 is an apocalyptic number.

8054936064 is a gapful number since it is divisible by the number (84) 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 8054936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14043744000).

8054936064 is an abundant number, since it is smaller than the sum of its proper divisors (20032551936).

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

8054936064 is a wasteful number, since it uses less digits than its factorization.

8054936064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 8054936064 is about 89749.2956184058. The cubic root of 8054936064 is about 2004.5675660625.

The spelling of 8054936064 in words is "eight billion, fifty-four million, nine hundred thirty-six thousand, sixty-four".