9687646656 has 280 divisors, whose sum is σ = 31238775216. Its totient is φ = 2956124160.

The previous prime is 9687646651. The next prime is 9687646669. The reversal of 9687646656 is 6566467869.

9687646656 is a `hidden beast` number, since 96 + 87 + 6 + 466 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9687646593 and 9687646602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9687646651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3259251 + ... + 3262221.

Almost surely, 2^9687646656 is an apocalyptic number.

9687646656 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 9687646656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15619387608).

9687646656 is an abundant number, since it is smaller than the sum of its proper divisors (21551128560).

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

9687646656 is a wasteful number, since it uses less digits than its factorization.

9687646656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049 (or 3030 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The square root of 9687646656 is about 98425.8434355530. The cubic root of 9687646656 is about 2131.7655030865.

The spelling of 9687646656 in words is "nine billion, six hundred eighty-seven million, six hundred forty-six thousand, six hundred fifty-six".