8064004608 has 240 divisors, whose sum is σ = 26496714816. Its totient is φ = 2337054720.

The previous prime is 8064004607. The next prime is 8064004633.

8064004608 is a `hidden beast` number, since 8 + 0 + 6 + 40 + 0 + 4 + 608 = 666.

8064004608 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (8064004607) 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 23 ways as a sum of consecutive naturals, for example, 1162366 + ... + 1169282.

Almost surely, 2^8064004608 is an apocalyptic number.

8064004608 is a gapful number since it is divisible by the number (88) 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 8064004608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13248357408).

8064004608 is an abundant number, since it is smaller than the sum of its proper divisors (18432710208).

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

8064004608 is a wasteful number, since it uses less digits than its factorization.

8064004608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6975 (or 6956 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8064004608 is about 89799.8029396502. The cubic root of 8064004608 is about 2005.3195559513.

The spelling of 8064004608 in words is "eight billion, sixty-four million, four thousand, six hundred eight".