4688008864 has 96 divisors (see below), whose sum is σ = 11542196736. Its totient is φ = 1820901120.

The previous prime is 4688008861. The next prime is 4688008877.

4688008864 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4688008861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 852267 + ... + 857749.

It is an arithmetic number, because the mean of its divisors is an integer number (120231216).

Almost surely, 2^4688008864 is an apocalyptic number.

4688008864 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 4688008864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5771098368).

4688008864 is an abundant number, since it is smaller than the sum of its proper divisors (6854187872).

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

4688008864 is a wasteful number, since it uses less digits than its factorization.

4688008864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5858 (or 5850 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 52.

The square root of 4688008864 is about 68469.0358045153. The cubic root of 4688008864 is about 1673.6429330726.

The spelling of 4688008864 in words is "four billion, six hundred eighty-eight million, eight thousand, eight hundred sixty-four".