9683815680 has 720 divisors, whose sum is σ = 43236192384. Its totient is φ = 2010562560.

The previous prime is 9683815679. The next prime is 9683815693. The reversal of 9683815680 is 865183869.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×9683815680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 7982754 + ... + 7983966.

Almost surely, 2^9683815680 is an apocalyptic number.

9683815680 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 9683815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21618096192).

9683815680 is an abundant number, since it is smaller than the sum of its proper divisors (33552376704).

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

9683815680 is a wasteful number, since it uses less digits than its factorization.

9683815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 9683815680 is about 98406.3802809554. The cubic root of 9683815680 is about 2131.4844640988.

The spelling of 9683815680 in words is "nine billion, six hundred eighty-three million, eight hundred fifteen thousand, six hundred eighty".