9661735776 has 288 divisors, whose sum is σ = 32896088064. Its totient is φ = 2427955200.

The previous prime is 9661735739. The next prime is 9661735777. The reversal of 9661735776 is 6775371669.

9661735776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9661735777) 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 47 ways as a sum of consecutive naturals, for example, 2518756 + ... + 2522588.

It is an arithmetic number, because the mean of its divisors is an integer number (114222528).

Almost surely, 2^9661735776 is an apocalyptic number.

9661735776 is a gapful number since it is divisible by the number (96) 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 9661735776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16448044032).

9661735776 is an abundant number, since it is smaller than the sum of its proper divisors (23234352288).

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

9661735776 is a wasteful number, since it uses less digits than its factorization.

9661735776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3887 counting only the distinct ones).

The product of its digits is 10001880, while the sum is 57.

The square root of 9661735776 is about 98294.1288989327. The cubic root of 9661735776 is about 2129.8632441017.

The spelling of 9661735776 in words is "nine billion, six hundred sixty-one million, seven hundred thirty-five thousand, seven hundred seventy-six".