9657611680 has 96 divisors (see below), whose sum is σ = 23837514624. Its totient is φ = 3690525696.

The previous prime is 9657611633. The next prime is 9657611681. The reversal of 9657611680 is 861167569.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9657611681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5935027 + ... + 5936653.

It is an arithmetic number, because the mean of its divisors is an integer number (248307444).

Almost surely, 2^9657611680 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 9657611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11918757312).

9657611680 is an abundant number, since it is smaller than the sum of its proper divisors (14179902944).

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

9657611680 is a wasteful number, since it uses less digits than its factorization.

9657611680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

The square root of 9657611680 is about 98273.1483163127. The cubic root of 9657611680 is about 2129.5601581013.

The spelling of 9657611680 in words is "nine billion, six hundred fifty-seven million, six hundred eleven thousand, six hundred eighty".