4260567168 has 512 divisors, whose sum is σ = 15237331200. Its totient is φ = 1154580480.

The previous prime is 4260567167. The next prime is 4260567169. The reversal of 4260567168 is 8617650624.

4260567168 is a `hidden beast` number, since 4 + 26 + 0 + 567 + 1 + 68 = 666.

4260567168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4260567167) and next prime (4260567169).

It is not an unprimeable number, because it can be changed into a prime (4260567167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18285580 + ... + 18285812.

Almost surely, 2^4260567168 is an apocalyptic number.

4260567168 is a gapful number since it is divisible by the number (48) 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 4260567168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618665600).

4260567168 is an abundant number, since it is smaller than the sum of its proper divisors (10976764032).

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

4260567168 is a wasteful number, since it uses less digits than its factorization.

4260567168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4260567168 is about 65273.0202150935. The cubic root of 4260567168 is about 1621.1472805850.

The spelling of 4260567168 in words is "four billion, two hundred sixty million, five hundred sixty-seven thousand, one hundred sixty-eight".