3667667663 has 16 divisors (see below), whose sum is σ = 4041342720. Its totient is φ = 3328308280.

The previous prime is 3667667651. The next prime is 3667667683.

3667667663 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3667667663 - 2⁶ = 3667667599 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3667667599 and 3667667608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667667623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859028 + ... + 863286.

It is an arithmetic number, because the mean of its divisors is an integer number (252583920).

Almost surely, 2^3667667663 is an apocalyptic number.

3667667663 is a deficient number, since it is larger than the sum of its proper divisors (373675057).

3667667663 is an equidigital number, since it uses as much as digits as its factorization.

3667667663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939 (or 4917 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 56.

The square root of 3667667663 is about 60561.2719731018. The cubic root of 3667667663 is about 1542.1619804181.

The spelling of 3667667663 in words is "three billion, six hundred sixty-seven million, six hundred sixty-seven thousand, six hundred sixty-three".