9645988004352 has 960 divisors, whose sum is σ = 34530598650240. Its totient is φ = 2648631508992.

The previous prime is 9645988004339. The next prime is 9645988004357. The reversal of 9645988004352 is 2534008895469.

9645988004352 is a `hidden beast` number, since 9 + 6 + 4 + 598 + 8 + 0 + 0 + 4 + 35 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 9645988004352.

It is not an unprimeable number, because it can be changed into a prime (9645988004357) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2080219378 + ... + 2080224014.

It is an arithmetic number, because the mean of its divisors is an integer number (35969373594).

Almost surely, 2^{9645988004352} 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 9645988004352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17265299325120).

9645988004352 is an abundant number, since it is smaller than the sum of its proper divisors (24884610645888).

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

9645988004352 is a wasteful number, since it uses less digits than its factorization.

9645988004352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4798 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 9645988004352 in words is "nine trillion, six hundred forty-five billion, nine hundred eighty-eight million, four thousand, three hundred fifty-two".