4068967680 has 432 divisors, whose sum is σ = 15152417280. Its totient is φ = 1004470272.

The previous prime is 4068967631. The next prime is 4068967703. The reversal of 4068967680 is 867698604.

4068967680 is a `hidden beast` number, since 406 + 8 + 96 + 76 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15471229 + ... + 15471491.

It is an arithmetic number, because the mean of its divisors is an integer number (35075040).

Almost surely, 2^4068967680 is an apocalyptic number.

4068967680 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 4068967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7576208640).

4068967680 is an abundant number, since it is smaller than the sum of its proper divisors (11083449600).

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

4068967680 is a wasteful number, since it uses less digits than its factorization.

4068967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 4068967680 is about 63788.4603984138. The cubic root of 4068967680 is about 1596.4723948838.

The spelling of 4068967680 in words is "four billion, sixty-eight million, nine hundred sixty-seven thousand, six hundred eighty".