9665384661504 has 1440 divisors, whose sum is σ = 36032406778368. Its totient is φ = 2461335552000.

The previous prime is 9665384661467. The next prime is 9665384661509. The reversal of 9665384661504 is 4051664835669.

9665384661504 is a `hidden beast` number, since 9 + 6 + 6 + 5 + 3 + 8 + 4 + 6 + 615 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (9665384661509) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4514424274 + ... + 4514426414.

Almost surely, 2^{9665384661504} 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 9665384661504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18016203389184).

9665384661504 is an abundant number, since it is smaller than the sum of its proper divisors (26367022116864).

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

9665384661504 is a wasteful number, since it uses less digits than its factorization.

9665384661504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 9665384661504 in words is "nine trillion, six hundred sixty-five billion, three hundred eighty-four million, six hundred sixty-one thousand, five hundred four".