9973653768000 has 2240 divisors, whose sum is σ = 41407944754176. Its totient is φ = 2353950720000.

The previous prime is 9973653767929. The next prime is 9973653768047. The reversal of 9973653768000 is 8673563799.

9973653768000 is a `hidden beast` number, since 9 + 9 + 7 + 36 + 537 + 68 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 23140727785 + ... + 23140728215.

Almost surely, 2^{9973653768000} is an apocalyptic number.

9973653768000 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 9973653768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20703972377088).

9973653768000 is an abundant number, since it is smaller than the sum of its proper divisors (31434290986176).

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

9973653768000 is a wasteful number, since it uses less digits than its factorization.

9973653768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 9973653768000 in words is "nine trillion, nine hundred seventy-three billion, six hundred fifty-three million, seven hundred sixty-eight thousand".