4768008896 has 84 divisors (see below), whose sum is σ = 11214311328. Its totient is φ = 2004807168.

The previous prime is 4768008893. The next prime is 4768008899. The reversal of 4768008896 is 6988008674.

It is an interprime number because it is at equal distance from previous prime (4768008893) and next prime (4768008899).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (4768008893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151865 + ... + 180551.

Almost surely, 2^4768008896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4768008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607155664).

4768008896 is an abundant number, since it is smaller than the sum of its proper divisors (6446302432).

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

4768008896 is a wasteful number, since it uses less digits than its factorization.

4768008896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28766 (or 28749 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 56.

The square root of 4768008896 is about 69050.7704229287. The cubic root of 4768008896 is about 1683.1094265551.

The spelling of 4768008896 in words is "four billion, seven hundred sixty-eight million, eight thousand, eight hundred ninety-six".