6803606961 has 32 divisors (see below), whose sum is σ = 10182205440. Its totient is φ = 4489664400.

The previous prime is 6803606951. The next prime is 6803606981. The reversal of 6803606961 is 1696063086.

It is not a de Polignac number, because 6803606961 - 2¹⁸ = 6803344817 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6803606951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1522216 + ... + 1526678.

It is an arithmetic number, because the mean of its divisors is an integer number (318193920).

Almost surely, 2^6803606961 is an apocalyptic number.

It is an amenable number.

6803606961 is a deficient number, since it is larger than the sum of its proper divisors (3378598479).

6803606961 is a wasteful number, since it uses less digits than its factorization.

6803606961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 6803606961 is about 82483.9800264269. The cubic root of 6803606961 is about 1894.8713915917.

The spelling of 6803606961 in words is "six billion, eight hundred three million, six hundred six thousand, nine hundred sixty-one".