4768880000 has 80 divisors (see below), whose sum is σ = 11872027860. Its totient is φ = 1907520000.

The previous prime is 4768879987. The next prime is 4768880003. The reversal of 4768880000 is 888674.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 4768880000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4768880003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 50195 + ... + 109805.

Almost surely, 2^4768880000 is an apocalyptic number.

4768880000 is a gapful number since it is divisible by the number (40) 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 4768880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5936013930).

4768880000 is an abundant number, since it is smaller than the sum of its proper divisors (7103147860).

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

4768880000 is an frugal number, since it uses more digits than its factorization.

4768880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59645 (or 59618 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 4768880000 is about 69057.0778414494. The cubic root of 4768880000 is about 1683.2119203568.

The spelling of 4768880000 in words is "four billion, seven hundred sixty-eight million, eight hundred eighty thousand".