9641617776 has 120 divisors (see below), whose sum is σ = 31184655840. Its totient is φ = 2723770368.

The previous prime is 9641617771. The next prime is 9641617787. The reversal of 9641617776 is 6777161469.

9641617776 is a `hidden beast` number, since 96 + 416 + 1 + 77 + 76 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9641617771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35976 + ... + 143448.

It is an arithmetic number, because the mean of its divisors is an integer number (259872132).

Almost surely, 2^9641617776 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 9641617776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15592327920).

9641617776 is an abundant number, since it is smaller than the sum of its proper divisors (21543038064).

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

9641617776 is a wasteful number, since it uses less digits than its factorization.

9641617776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107583 (or 107574 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 9641617776 is about 98191.7398562629. The cubic root of 9641617776 is about 2128.3839252554.

The spelling of 9641617776 in words is "nine billion, six hundred forty-one million, six hundred seventeen thousand, seven hundred seventy-six".