9961730649 has 40 divisors (see below), whose sum is σ = 16265110400. Its totient is φ = 6038756064.

The previous prime is 9961730641. The next prime is 9961730651. The reversal of 9961730649 is 9460371699.

9961730649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9961730649 - 2³ = 9961730641 is a prime.

It is a super-2 number, since 2×9961730649² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9961730595 and 9961730604.

It is not an unprimeable number, because it can be changed into a prime (9961730641) 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 39 ways as a sum of consecutive naturals, for example, 49 + ... + 141150.

It is an arithmetic number, because the mean of its divisors is an integer number (406627760).

Almost surely, 2^9961730649 is an apocalyptic number.

It is an amenable number.

9961730649 is a deficient number, since it is larger than the sum of its proper divisors (6303379751).

9961730649 is a wasteful number, since it uses less digits than its factorization.

9961730649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141291 (or 141282 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 9961730649 is about 99808.4698259622. The cubic root of 9961730649 is about 2151.6828827997.

The spelling of 9961730649 in words is "nine billion, nine hundred sixty-one million, seven hundred thirty thousand, six hundred forty-nine".