4768686720 has 384 divisors, whose sum is σ = 19021841280. Its totient is φ = 1078272000.

The previous prime is 4768686719. The next prime is 4768686749. The reversal of 4768686720 is 276868674.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4071735 + ... + 4072905.

It is an arithmetic number, because the mean of its divisors is an integer number (49536045).

Almost surely, 2^4768686720 is an apocalyptic number.

4768686720 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 4768686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9510920640).

4768686720 is an abundant number, since it is smaller than the sum of its proper divisors (14253154560).

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

4768686720 is a wasteful number, since it uses less digits than its factorization.

4768686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 4768686720 is about 69055.6784051826. The cubic root of 4768686720 is about 1683.1891801750.

The spelling of 4768686720 in words is "four billion, seven hundred sixty-eight million, six hundred eighty-six thousand, seven hundred twenty".