4068809095680 has 720 divisors, whose sum is σ = 16957452231720. Its totient is φ = 897936850944.

The previous prime is 4068809095643. The next prime is 4068809095781. The reversal of 4068809095680 is 865909088604.

4068809095680 is a `hidden beast` number, since 4 + 0 + 68 + 8 + 0 + 9 + 0 + 9 + 568 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2960657070336 + 1108152025344 = 1720656^2 + 1052688^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32677702 + ... + 32801978.

Almost surely, 2^{4068809095680} is an apocalyptic number.

4068809095680 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 4068809095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8478726115860).

4068809095680 is an abundant number, since it is smaller than the sum of its proper divisors (12888643136040).

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

4068809095680 is a wasteful number, since it uses less digits than its factorization.

4068809095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124349 (or 124323 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 4068809095680 in words is "four trillion, sixty-eight billion, eight hundred nine million, ninety-five thousand, six hundred eighty".