9657212796000 has 2304 divisors, whose sum is σ = 44468149340160. Its totient is φ = 1992646656000.

The previous prime is 9657212795969. The next prime is 9657212796013. The reversal of 9657212796000 is 6972127569.

9657212796000 is a `hidden beast` number, since 9 + 6 + 5 + 7 + 2 + 1 + 27 + 9 + 600 + 0 = 666.

It is a super-2 number, since 2×9657212796000² (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17654867727 + ... + 17654868273.

It is an arithmetic number, because the mean of its divisors is an integer number (19300412040).

Almost surely, 2^{9657212796000} is an apocalyptic number.

9657212796000 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 9657212796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22234074670080).

9657212796000 is an abundant number, since it is smaller than the sum of its proper divisors (34810936544160).

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

9657212796000 is a wasteful number, since it uses less digits than its factorization.

9657212796000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 9657212796000 in words is "nine trillion, six hundred fifty-seven billion, two hundred twelve million, seven hundred ninety-six thousand".