7667634675667 has 8 divisors (see below), whose sum is σ = 7755308982000. Its totient is φ = 7579994171904.

The previous prime is 7667634675661. The next prime is 7667634675751. The reversal of 7667634675667 is 7665764367667.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7667634675667 - 2³¹ = 7665487192019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7667634675593 and 7667634675602.

It is not an unprimeable number, because it can be changed into a prime (7667634675661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7994238 + ... + 8901859.

It is an arithmetic number, because the mean of its divisors is an integer number (969413622750).

Almost surely, 2^{7667634675667} is an apocalyptic number.

7667634675667 is a deficient number, since it is larger than the sum of its proper divisors (87674306333).

7667634675667 is a wasteful number, since it uses less digits than its factorization.

7667634675667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16901285.

The product of its digits is 6721263360, while the sum is 76.

The spelling of 7667634675667 in words is "seven trillion, six hundred sixty-seven billion, six hundred thirty-four million, six hundred seventy-five thousand, six hundred sixty-seven".