4327868160 has 1296 divisors, whose sum is σ = 20610731232. Its totient is φ = 825753600.

The previous prime is 4327868159. The next prime is 4327868161. The reversal of 4327868160 is 618687234.

4327868160 is a `hidden beast` number, since 432 + 7 + 86 + 81 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (4327868159) and next prime (4327868161).

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 (4327868161) 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 143 ways as a sum of consecutive naturals, for example, 105557740 + ... + 105557780.

It is an arithmetic number, because the mean of its divisors is an integer number (15903342).

Almost surely, 2^4327868160 is an apocalyptic number.

4327868160 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 4327868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10305365616).

4327868160 is an abundant number, since it is smaller than the sum of its proper divisors (16282863072).

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

4327868160 is a wasteful number, since it uses less digits than its factorization.

4327868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 86 counting only the distinct ones).

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

The square root of 4327868160 is about 65786.5347924634. The cubic root of 4327868160 is about 1629.6387421264.

The spelling of 4327868160 in words is "four billion, three hundred twenty-seven million, eight hundred sixty-eight thousand, one hundred sixty".