9734785168000 has 256 divisors, whose sum is σ = 24997380295680. Its totient is φ = 3766264320000.

The previous prime is 9734785167971. The next prime is 9734785168051. The reversal of 9734785168000 is 8615874379.

It is a super-2 number, since 2×9734785168000² (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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1180971879 + ... + 1180980121.

It is an arithmetic number, because the mean of its divisors is an integer number (97646016780).

Almost surely, 2^{9734785168000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9734785168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12498690147840).

9734785168000 is an abundant number, since it is smaller than the sum of its proper divisors (15262595127680).

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

9734785168000 is a wasteful number, since it uses less digits than its factorization.

9734785168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10684 (or 10662 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 9734785168000 in words is "nine trillion, seven hundred thirty-four billion, seven hundred eighty-five million, one hundred sixty-eight thousand".