9796658097600 has 1344 divisors, whose sum is σ = 39479686709760. Its totient is φ = 2343444480000.

The previous prime is 9796658097553. The next prime is 9796658097617. The reversal of 9796658097600 is 67908566979.

9796658097600 is a `hidden beast` number, since 9 + 7 + 9 + 6 + 6 + 5 + 8 + 0 + 9 + 7 + 600 = 666.

9796658097600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9796658097600² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15002538874 + ... + 15002539526.

Almost surely, 2^{9796658097600} is an apocalyptic number.

9796658097600 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 9796658097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19739843354880).

9796658097600 is an abundant number, since it is smaller than the sum of its proper divisors (29683028612160).

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

9796658097600 is a wasteful number, since it uses less digits than its factorization.

9796658097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 9796658097600 in words is "nine trillion, seven hundred ninety-six billion, six hundred fifty-eight million, ninety-seven thousand, six hundred".