9786986496 has 624 divisors, whose sum is σ = 36064514304. Its totient is φ = 2491416576.

The previous prime is 9786986459. The next prime is 9786986501. The reversal of 9786986496 is 6946896879.

9786986496 is a `hidden beast` number, since 9 + 78 + 69 + 8 + 6 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 100896720 + ... + 100896816.

It is an arithmetic number, because the mean of its divisors is an integer number (57795696).

Almost surely, 2^9786986496 is an apocalyptic number.

9786986496 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 9786986496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18032257152).

9786986496 is an abundant number, since it is smaller than the sum of its proper divisors (26277527808).

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

9786986496 is a wasteful number, since it uses less digits than its factorization.

9786986496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The square root of 9786986496 is about 98929.1994104875. The cubic root of 9786986496 is about 2139.0273111776.

The spelling of 9786986496 in words is "nine billion, seven hundred eighty-six million, nine hundred eighty-six thousand, four hundred ninety-six".