3667128217663 has 8 divisors (see below), whose sum is σ = 3695231905200. Its totient is φ = 3639026202240.

The previous prime is 3667128217619. The next prime is 3667128217679.

3667128217663 is nontrivially palindromic in base 10.

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 3667128217663 - 2¹⁷ = 3667128086591 is a prime.

It is a super-2 number, since 2×3667128217663² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3667128217598 and 3667128217607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667128217603) 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, 4177831 + ... + 4978807.

It is an arithmetic number, because the mean of its divisors is an integer number (461903988150).

Almost surely, 2^{3667128217663} is an apocalyptic number.

3667128217663 is a deficient number, since it is larger than the sum of its proper divisors (28103687537).

3667128217663 is a wasteful number, since it uses less digits than its factorization.

3667128217663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836057.

The product of its digits is 18289152, while the sum is 58.

The spelling of 3667128217663 in words is "three trillion, six hundred sixty-seven billion, one hundred twenty-eight million, two hundred seventeen thousand, six hundred sixty-three".