4068308160 has 448 divisors, whose sum is σ = 16555760640. Its totient is φ = 921231360.

The previous prime is 4068308129. The next prime is 4068308347. The reversal of 4068308160 is 618038604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×4068308160² = 33102262569445171200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8285515 + ... + 8286005.

Almost surely, 2^4068308160 is an apocalyptic number.

4068308160 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 4068308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8277880320).

4068308160 is an abundant number, since it is smaller than the sum of its proper divisors (12487452480).

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

4068308160 is a wasteful number, since it uses less digits than its factorization.

4068308160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4068308160 is about 63783.2906018496. The cubic root of 4068308160 is about 1596.3861353008.

The spelling of 4068308160 in words is "four billion, sixty-eight million, three hundred eight thousand, one hundred sixty".