4608448064 has 56 divisors (see below), whose sum is σ = 9985784448. Its totient is φ = 2092746240.

The previous prime is 4608448057. The next prime is 4608448067.

4608448064 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (4608448067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 931742 + ... + 936674.

Almost surely, 2^4608448064 is an apocalyptic number.

4608448064 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 4608448064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992892224).

4608448064 is an abundant number, since it is smaller than the sum of its proper divisors (5377336384).

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

4608448064 is a wasteful number, since it uses less digits than its factorization.

4608448064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6283 (or 6273 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 44.

The square root of 4608448064 is about 67885.5512167354. The cubic root of 4608448064 is about 1664.1209924966.

The spelling of 4608448064 in words is "four billion, six hundred eight million, four hundred forty-eight thousand, sixty-four".