9645667052544 has 704 divisors, whose sum is σ = 30526331289600. Its totient is φ = 3000089788416.

The previous prime is 9645667052509. The next prime is 9645667052599. The reversal of 9645667052544 is 4452507665469.

It is a happy number.

9645667052544 is a `hidden beast` number, since 9 + 6 + 4 + 5 + 6 + 67 + 0 + 525 + 44 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10874483269 + ... + 10874484155.

Almost surely, 2^{9645667052544} 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 9645667052544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15263165644800).

9645667052544 is an abundant number, since it is smaller than the sum of its proper divisors (20880664237056).

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

9645667052544 is a wasteful number, since it uses less digits than its factorization.

9645667052544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 9645667052544 in words is "nine trillion, six hundred forty-five billion, six hundred sixty-seven million, fifty-two thousand, five hundred forty-four".