9749866671600 has 240 divisors, whose sum is σ = 34075476887040. Its totient is φ = 2363317913600.

The previous prime is 9749866671599. The next prime is 9749866671619. The reversal of 9749866671600 is 61766689479.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×9749866671600² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 121518697 + ... + 121598903.

It is an arithmetic number, because the mean of its divisors is an integer number (141981153696).

Almost surely, 2^{9749866671600} 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 9749866671600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17037738443520).

9749866671600 is an abundant number, since it is smaller than the sum of its proper divisors (24325610215440).

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

9749866671600 is a wasteful number, since it uses less digits than its factorization.

9749866671600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89448 (or 89437 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 69.

The spelling of 9749866671600 in words is "nine trillion, seven hundred forty-nine billion, eight hundred sixty-six million, six hundred seventy-one thousand, six hundred".