9666093906672 has 160 divisors (see below), whose sum is σ = 31530466778112. Its totient is φ = 2486273298432.

The previous prime is 9666093906671. The next prime is 9666093906683. The reversal of 9666093906672 is 2766093906669.

It is a super-2 number, since 2×9666093906672² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 9666093906597 and 9666093906606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9666093906671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36656523 + ... + 36919274.

Almost surely, 2^{9666093906672} is an apocalyptic number.

9666093906672 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

9666093906672 is an abundant number, since it is smaller than the sum of its proper divisors (21864372871440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9666093906672 is a wasteful number, since it uses less digits than its factorization.

9666093906672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73575855 (or 73575849 counting only the distinct ones).

The product of its (nonzero) digits is 238085568, while the sum is 69.

The spelling of 9666093906672 in words is "nine trillion, six hundred sixty-six billion, ninety-three million, nine hundred six thousand, six hundred seventy-two".