9817606656 has 480 divisors, whose sum is σ = 34103317248. Its totient is φ = 2679275520.

The previous prime is 9817606613. The next prime is 9817606657. The reversal of 9817606656 is 6566067189.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9817606657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30970210 + ... + 30970526.

Almost surely, 2^9817606656 is an apocalyptic number.

9817606656 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 9817606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17051658624).

9817606656 is an abundant number, since it is smaller than the sum of its proper divisors (24285710592).

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

9817606656 is a wasteful number, since it uses less digits than its factorization.

9817606656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 9817606656 is about 99083.8365022267. The cubic root of 9817606656 is about 2141.2557523388.

The spelling of 9817606656 in words is "nine billion, eight hundred seventeen million, six hundred six thousand, six hundred fifty-six".