4007681168 has 20 divisors (see below), whose sum is σ = 7768959228. Its totient is φ = 2002788480.

The previous prime is 4007681149. The next prime is 4007681177. The reversal of 4007681168 is 8611867004.

It can be written as a sum of positive squares in 2 ways, for example, as 930982144 + 3076699024 = 30512^2 + 55468^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33863 + ... + 95718.

Almost surely, 2^4007681168 is an apocalyptic number.

It is an amenable number.

4007681168 is a deficient number, since it is larger than the sum of its proper divisors (3761278060).

4007681168 is a wasteful number, since it uses less digits than its factorization.

4007681168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131522 (or 131516 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 4007681168 is about 63306.2490438345. The cubic root of 4007681168 is about 1588.4164934442.

The spelling of 4007681168 in words is "four billion, seven million, six hundred eighty-one thousand, one hundred sixty-eight".