4608668064 has 384 divisors, whose sum is σ = 16392499200. Its totient is φ = 1094860800.

The previous prime is 4608668021. The next prime is 4608668069.

4608668064 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4608668069) 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 63 ways as a sum of consecutive naturals, for example, 19122984 + ... + 19123224.

It is an arithmetic number, because the mean of its divisors is an integer number (42688800).

Almost surely, 2^4608668064 is an apocalyptic number.

4608668064 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 4608668064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196249600).

4608668064 is an abundant number, since it is smaller than the sum of its proper divisors (11783831136).

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

4608668064 is a wasteful number, since it uses less digits than its factorization.

4608668064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The square root of 4608668064 is about 67887.1715716600. The cubic root of 4608668064 is about 1664.1474729073.

The spelling of 4608668064 in words is "four billion, six hundred eight million, six hundred sixty-eight thousand, sixty-four".