9849663694080 has 2304 divisors, whose sum is σ = 43401609216000. Its totient is φ = 2065273749504.

The previous prime is 9849663694069. The next prime is 9849663694097. The reversal of 9849663694080 is 804963669489.

9849663694080 is a `hidden beast` number, since 98 + 4 + 9 + 66 + 369 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27436388941 + ... + 27436389299.

It is an arithmetic number, because the mean of its divisors is an integer number (18837504000).

Almost surely, 2^{9849663694080} is an apocalyptic number.

9849663694080 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 9849663694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21700804608000).

9849663694080 is an abundant number, since it is smaller than the sum of its proper divisors (33551945521920).

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

9849663694080 is a wasteful number, since it uses less digits than its factorization.

9849663694080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 9849663694080 in words is "nine trillion, eight hundred forty-nine billion, six hundred sixty-three million, six hundred ninety-four thousand, eighty".