9786248640 has 504 divisors, whose sum is σ = 40437401472. Its totient is φ = 2163732480.

The previous prime is 9786248627. The next prime is 9786248657. The reversal of 9786248640 is 468426879.

9786248640 is a `hidden beast` number, since 9 + 7 + 8 + 624 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4373602 + ... + 4375838.

Almost surely, 2^9786248640 is an apocalyptic number.

9786248640 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 9786248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20218700736).

9786248640 is an abundant number, since it is smaller than the sum of its proper divisors (30651152832).

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

9786248640 is a wasteful number, since it uses less digits than its factorization.

9786248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 9786248640 is about 98925.4701277684. The cubic root of 9786248640 is about 2138.9735549711.

The spelling of 9786248640 in words is "nine billion, seven hundred eighty-six million, two hundred forty-eight thousand, six hundred forty".