7667667667 has 8 divisors (see below), whose sum is σ = 8489575872. Its totient is φ = 6866567400.

The previous prime is 7667667659. The next prime is 7667667713.

7667667667 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 7667667667 - 2³ = 7667667659 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7667667599 and 7667667608.

It is not an unprimeable number, because it can be changed into a prime (7667661667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5201209 + ... + 5202682.

It is an arithmetic number, because the mean of its divisors is an integer number (1061196984).

Almost surely, 2^7667667667 is an apocalyptic number.

7667667667 is a deficient number, since it is larger than the sum of its proper divisors (821908205).

7667667667 is a wasteful number, since it uses less digits than its factorization.

7667667667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10403969.

The product of its digits is 112021056, while the sum is 64.

The square root of 7667667667 is about 87565.2195052351. The cubic root of 7667667667 is about 1971.9130468780.

The spelling of 7667667667 in words is "seven billion, six hundred sixty-seven million, six hundred sixty-seven thousand, six hundred sixty-seven".