4283768160 has 576 divisors, whose sum is σ = 17788377600. Its totient is φ = 962551296.

The previous prime is 4283768149. The next prime is 4283768161. The reversal of 4283768160 is 618673824.

4283768160 is a `hidden beast` number, since 428 + 3 + 7 + 68 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4283768161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72606211 + ... + 72606269.

It is an arithmetic number, because the mean of its divisors is an integer number (30882600).

Almost surely, 2^4283768160 is an apocalyptic number.

4283768160 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 4283768160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8894188800).

4283768160 is an abundant number, since it is smaller than the sum of its proper divisors (13504609440).

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

4283768160 is an frugal number, since it uses more digits than its factorization.

4283768160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4283768160 is about 65450.5016023560. The cubic root of 4283768160 is about 1624.0846170734.

The spelling of 4283768160 in words is "four billion, two hundred eighty-three million, seven hundred sixty-eight thousand, one hundred sixty".