3667312137663 has 16 divisors (see below), whose sum is σ = 5438376367200. Its totient is φ = 2442480151680.

The previous prime is 3667312137617. The next prime is 3667312137739.

3667312137663 is a `hidden beast` number, since 36 + 67 + 3 + 121 + 376 + 63 = 666.

3667312137663 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3667312137663 - 2⁸ = 3667312137407 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667312137563) 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, 66488778 + ... + 66543911.

It is an arithmetic number, because the mean of its divisors is an integer number (339898522950).

Almost surely, 2^{3667312137663} is an apocalyptic number.

3667312137663 is a deficient number, since it is larger than the sum of its proper divisors (1771064229537).

3667312137663 is a wasteful number, since it uses less digits than its factorization.

3667312137663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133033719 (or 133033713 counting only the distinct ones).

The product of its digits is 10287648, while the sum is 54.

The spelling of 3667312137663 in words is "three trillion, six hundred sixty-seven billion, three hundred twelve million, one hundred thirty-seven thousand, six hundred sixty-three".