9691971840000 has 1920 divisors, whose sum is σ = 38132718624000. Its totient is φ = 2426535936000.

The previous prime is 9691971839999. The next prime is 9691971840011. The reversal of 9691971840000 is 481791969.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 70744319932 + ... + 70744320068.

It is an arithmetic number, because the mean of its divisors is an integer number (19860790950).

Almost surely, 2^{9691971840000} is an apocalyptic number.

9691971840000 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 9691971840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19066359312000).

9691971840000 is an abundant number, since it is smaller than the sum of its proper divisors (28440746784000).

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

9691971840000 is a wasteful number, since it uses less digits than its factorization.

9691971840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 9691971840000 in words is "nine trillion, six hundred ninety-one billion, nine hundred seventy-one million, eight hundred forty thousand".