4071950568 has 512 divisors, whose sum is σ = 14463360000. Its totient is φ = 1056706560.

The previous prime is 4071950563. The next prime is 4071950569. The reversal of 4071950568 is 8650591704.

4071950568 is a `hidden beast` number, since 407 + 195 + 0 + 56 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4071950563) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66753258 + ... + 66753318.

It is an arithmetic number, because the mean of its divisors is an integer number (28248750).

Almost surely, 2^4071950568 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 4071950568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231680000).

4071950568 is an abundant number, since it is smaller than the sum of its proper divisors (10391409432).

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

4071950568 is a wasteful number, since it uses less digits than its factorization.

4071950568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 4071950568 is about 63811.8372090947. The cubic root of 4071950568 is about 1596.8624147879.

The spelling of 4071950568 in words is "four billion, seventy-one million, nine hundred fifty thousand, five hundred sixty-eight".