9649781760 has 176 divisors, whose sum is σ = 30950640000. Its totient is φ = 2566078464.

The previous prime is 9649781759. The next prime is 9649781761. The reversal of 9649781760 is 671879469.

9649781760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9649781759) and next prime (9649781761).

It is a self number, because there is not a number n which added to its sum of digits gives 9649781760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9649781761) 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 15 ways as a sum of consecutive naturals, for example, 7664011 + ... + 7665269.

Almost surely, 2^9649781760 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 9649781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15475320000).

9649781760 is an abundant number, since it is smaller than the sum of its proper divisors (21300858240).

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

9649781760 is a wasteful number, since it uses less digits than its factorization.

9649781760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The square root of 9649781760 is about 98233.3027033093. The cubic root of 9649781760 is about 2128.9844880327.

The spelling of 9649781760 in words is "nine billion, six hundred forty-nine million, seven hundred eighty-one thousand, seven hundred sixty".