9760938643560 has 128 divisors (see below), whose sum is σ = 31550374800000. Its totient is φ = 2401547099136.

The previous prime is 9760938643559. The next prime is 9760938643607. The reversal of 9760938643560 is 653468390679.

It is a junction number, because it is equal to n+sod(n) for n = 9760938643491 and 9760938643500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1783966 + ... + 4764914.

It is an arithmetic number, because the mean of its divisors is an integer number (246487303125).

Almost surely, 2^{9760938643560} 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 9760938643560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15775187400000).

9760938643560 is an abundant number, since it is smaller than the sum of its proper divisors (21789436156440).

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

9760938643560 is a wasteful number, since it uses less digits than its factorization.

9760938643560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983075 (or 2983071 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 66.

The spelling of 9760938643560 in words is "nine trillion, seven hundred sixty billion, nine hundred thirty-eight million, six hundred forty-three thousand, five hundred sixty".