6881309667 has 16 divisors (see below), whose sum is σ = 10731088000. Its totient is φ = 4346089992.

The previous prime is 6881309647. The next prime is 6881309681. The reversal of 6881309667 is 7669031886.

It is a happy number.

It is not a de Polignac number, because 6881309667 - 2²⁸ = 6612874211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6881309627) 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 15 ways as a sum of consecutive naturals, for example, 6706417 + ... + 6707442.

It is an arithmetic number, because the mean of its divisors is an integer number (670693000).

Almost surely, 2^6881309667 is an apocalyptic number.

6881309667 is a deficient number, since it is larger than the sum of its proper divisors (3849778333).

6881309667 is a wasteful number, since it uses less digits than its factorization.

6881309667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13413887 (or 13413881 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 6881309667 is about 82953.6597565171. The cubic root of 6881309667 is about 1902.0577582994.

The spelling of 6881309667 in words is "six billion, eight hundred eighty-one million, three hundred nine thousand, six hundred sixty-seven".