4169205768 has 384 divisors, whose sum is σ = 13899755520. Its totient is φ = 1030740480.

The previous prime is 4169205751. The next prime is 4169205787. The reversal of 4169205768 is 8675029614.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24965221 + ... + 24965387.

It is an arithmetic number, because the mean of its divisors is an integer number (36197280).

Almost surely, 2^4169205768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4169205768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949877760).

4169205768 is an abundant number, since it is smaller than the sum of its proper divisors (9730549752).

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

4169205768 is a wasteful number, since it uses less digits than its factorization.

4169205768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 4169205768 is about 64569.3872357482. The cubic root of 4169205768 is about 1609.4757713545.

The spelling of 4169205768 in words is "four billion, one hundred sixty-nine million, two hundred five thousand, seven hundred sixty-eight".