9666765957768 has 512 divisors, whose sum is σ = 27051687936000. Its totient is φ = 2866824576000.

The previous prime is 9666765957767. The next prime is 9666765957773. The reversal of 9666765957768 is 8677595676669.

It is not an unprimeable number, because it can be changed into a prime (9666765957767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23071040263 + ... + 23071040681.

It is an arithmetic number, because the mean of its divisors is an integer number (52835328000).

Almost surely, 2^{9666765957768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9666765957768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13525843968000).

9666765957768 is an abundant number, since it is smaller than the sum of its proper divisors (17384921978232).

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

9666765957768 is a wasteful number, since it uses less digits than its factorization.

9666765957768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 853 counting only the distinct ones).

The product of its digits is 43208121600, while the sum is 87.

The spelling of 9666765957768 in words is "nine trillion, six hundred sixty-six billion, seven hundred sixty-five million, nine hundred fifty-seven thousand, seven hundred sixty-eight".