9685201658400 has 216 divisors, whose sum is σ = 34247583639360. Its totient is φ = 2575525547520.

The previous prime is 9685201658389. The next prime is 9685201658437. The reversal of 9685201658400 is 48561025869.

9685201658400 is a `hidden beast` number, since 9 + 6 + 8 + 52 + 0 + 1 + 6 + 584 + 0 + 0 = 666.

It is a super-2 number, since 2×9685201658400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 711309 + ... + 4458291.

It is an arithmetic number, because the mean of its divisors is an integer number (158553627960).

Almost surely, 2^{9685201658400} is an apocalyptic number.

9685201658400 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 9685201658400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17123791819680).

9685201658400 is an abundant number, since it is smaller than the sum of its proper divisors (24562381980960).

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

9685201658400 is a wasteful number, since it uses less digits than its factorization.

9685201658400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747368 (or 3747352 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 9685201658400 in words is "nine trillion, six hundred eighty-five billion, two hundred one million, six hundred fifty-eight thousand, four hundred".