9795760680 has 256 divisors, whose sum is σ = 31253299200. Its totient is φ = 2452469760.

The previous prime is 9795760657. The next prime is 9795760699. The reversal of 9795760680 is 860675979.

It is a self number, because there is not a number n which added to its sum of digits gives 9795760680.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31296204 + ... + 31296516.

It is an arithmetic number, because the mean of its divisors is an integer number (122083200).

Almost surely, 2^9795760680 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 9795760680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15626649600).

9795760680 is an abundant number, since it is smaller than the sum of its proper divisors (21457538520).

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

9795760680 is a wasteful number, since it uses less digits than its factorization.

9795760680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The square root of 9795760680 is about 98973.5352505911. The cubic root of 9795760680 is about 2139.6663438817. Note that the first 3 decimals are identical.

The spelling of 9795760680 in words is "nine billion, seven hundred ninety-five million, seven hundred sixty thousand, six hundred eighty".