3667630648768 has 28 divisors (see below), whose sum is σ = 7282331180800. Its totient is φ = 1832712556032.

The previous prime is 3667630648673. The next prime is 3667630648769. The reversal of 3667630648768 is 8678460367663.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3667630648697 and 3667630648706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667630648769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17123493 + ... + 17336356.

Almost surely, 2^{3667630648768} is an apocalyptic number.

It is an amenable number.

3667630648768 is a deficient number, since it is larger than the sum of its proper divisors (3614700532032).

3667630648768 is a wasteful number, since it uses less digits than its factorization.

3667630648768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34461524 (or 34461514 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 70.

The spelling of 3667630648768 in words is "three trillion, six hundred sixty-seven billion, six hundred thirty million, six hundred forty-eight thousand, seven hundred sixty-eight".