4006107968 has 28 divisors (see below), whose sum is σ = 8007664452. Its totient is φ = 1988428800.

The previous prime is 4006107967. The next prime is 4006107983. The reversal of 4006107968 is 8697016004.

It can be written as a sum of positive squares in 2 ways, for example, as 2202237184 + 1803870784 = 46928^2 + 42472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006107967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 219683 + ... + 237218.

Almost surely, 2^4006107968 is an apocalyptic number.

It is an amenable number.

4006107968 is a deficient number, since it is larger than the sum of its proper divisors (4001556484).

4006107968 is a wasteful number, since it uses less digits than its factorization.

4006107968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457050 (or 457040 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 4006107968 is about 63293.8225105737. The cubic root of 4006107968 is about 1588.2086239580.

The spelling of 4006107968 in words is "four billion, six million, one hundred seven thousand, nine hundred sixty-eight".