7628668267 has 12 divisors (see below), whose sum is σ = 8699756184. Its totient is φ = 6633619520.

The previous prime is 7628668253. The next prime is 7628668273.

7628668267 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-7628668267 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7628668237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 649678 + ... + 661315.

It is an arithmetic number, because the mean of its divisors is an integer number (724979682).

Almost surely, 2^7628668267 is an apocalyptic number.

7628668267 is a deficient number, since it is larger than the sum of its proper divisors (1071087917).

7628668267 is a wasteful number, since it uses less digits than its factorization.

7628668267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311050 (or 1311027 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 58.

The square root of 7628668267 is about 87342.2478929870. The cubic root of 7628668267 is about 1968.5641720471.

The spelling of 7628668267 in words is "seven billion, six hundred twenty-eight million, six hundred sixty-eight thousand, two hundred sixty-seven".