9786516480 has 792 divisors, whose sum is σ = 39954181176. Its totient is φ = 2194145280.

The previous prime is 9786516479. The next prime is 9786516547. The reversal of 9786516480 is 846156879.

9786516480 is a `hidden beast` number, since 9 + 7 + 86 + 516 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 717382656 + 9069133824 = 26784^2 + 95232^2 .

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 71 ways as a sum of consecutive naturals, for example, 315694065 + ... + 315694095.

Almost surely, 2^9786516480 is an apocalyptic number.

9786516480 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 9786516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19977090588).

9786516480 is an abundant number, since it is smaller than the sum of its proper divisors (30167664696).

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

9786516480 is a wasteful number, since it uses less digits than its factorization.

9786516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 9786516480 is about 98926.8238649154. The cubic root of 9786516480 is about 2138.9930686606.

The spelling of 9786516480 in words is "nine billion, seven hundred eighty-six million, five hundred sixteen thousand, four hundred eighty".