9659381760 has 1152 divisors, whose sum is σ = 43023052800. Its totient is φ = 2043740160.

The previous prime is 9659381749. The next prime is 9659381761. The reversal of 9659381760 is 671839569.

9659381760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9659381697 and 9659381706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9659381761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311592945 + ... + 311592975.

It is an arithmetic number, because the mean of its divisors is an integer number (37346400).

Almost surely, 2^9659381760 is an apocalyptic number.

9659381760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9659381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21511526400).

9659381760 is an abundant number, since it is smaller than the sum of its proper divisors (33363671040).

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

9659381760 is a wasteful number, since it uses less digits than its factorization.

9659381760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 9659381760 is about 98282.1538225532. The cubic root of 9659381760 is about 2129.6902545026.

The spelling of 9659381760 in words is "nine billion, six hundred fifty-nine million, three hundred eighty-one thousand, seven hundred sixty".