4608008064 has 192 divisors, whose sum is σ = 14651769600. Its totient is φ = 1378391040.

The previous prime is 4608008039. The next prime is 4608008077.

4608008064 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

4608008064 is a modest number, since divided by 8064 gives 4608 as remainder.

It is a congruent number.

It is an unprimeable number.

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, 998787 + ... + 1003389.

It is an arithmetic number, because the mean of its divisors is an integer number (76311300).

Almost surely, 2^4608008064 is an apocalyptic number.

4608008064 is a gapful number since it is divisible by the number (44) 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 4608008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325884800).

4608008064 is an abundant number, since it is smaller than the sum of its proper divisors (10043761536).

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

4608008064 is a wasteful number, since it uses less digits than its factorization.

4608008064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713 (or 4698 counting only the distinct ones).

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

The square root of 4608008064 is about 67882.3103908522. The cubic root of 4608008064 is about 1664.0680291467.

It can be divided in two parts, 460800 and 8064, that added together give a palindrome (468864).

The spelling of 4608008064 in words is "four billion, six hundred eight million, eight thousand, sixty-four".