9684684576000 has 3456 divisors, whose sum is σ = 44171592192000. Its totient is φ = 2028876595200.

The previous prime is 9684684575947. The next prime is 9684684576013. The reversal of 9684684576000 is 6754864869.

9684684576000 is a `hidden beast` number, since 9 + 68 + 4 + 68 + 457 + 60 + 0 + 0 = 666.

It is a super-2 number, since 2×9684684576000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 122590943961 + ... + 122590944039.

It is an arithmetic number, because the mean of its divisors is an integer number (12781132000).

Almost surely, 2^{9684684576000} is an apocalyptic number.

9684684576000 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 9684684576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22085796096000).

9684684576000 is an abundant number, since it is smaller than the sum of its proper divisors (34486907616000).

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

9684684576000 is a wasteful number, since it uses less digits than its factorization.

9684684576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 9684684576000 in words is "nine trillion, six hundred eighty-four billion, six hundred eighty-four million, five hundred seventy-six thousand".