9684679680 has 704 divisors, whose sum is σ = 39369214080. Its totient is φ = 2236612608.

The previous prime is 9684679661. The next prime is 9684679699. The reversal of 9684679680 is 869764869.

9684679680 is a `hidden beast` number, since 9 + 6 + 8 + 467 + 96 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (9684679661) and next prime (9684679699).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30550882 + ... + 30551198.

Almost surely, 2^9684679680 is an apocalyptic number.

9684679680 is a gapful number since it is divisible by the number (90) 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 9684679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19684607040).

9684679680 is an abundant number, since it is smaller than the sum of its proper divisors (29684534400).

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

9684679680 is a wasteful number, since it uses less digits than its factorization.

9684679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The square root of 9684679680 is about 98410.7701422969. The cubic root of 9684679680 is about 2131.5478532927.

The spelling of 9684679680 in words is "nine billion, six hundred eighty-four million, six hundred seventy-nine thousand, six hundred eighty".