9748849824000 has 2304 divisors, whose sum is σ = 42404728504320. Its totient is φ = 2159861760000.

The previous prime is 9748849823963. The next prime is 9748849824029. The reversal of 9748849824000 is 4289488479.

9748849824000 is a `hidden beast` number, since 9 + 74 + 8 + 84 + 9 + 82 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

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 255 ways as a sum of consecutive naturals, for example, 31346783845 + ... + 31346784155.

It is an arithmetic number, because the mean of its divisors is an integer number (18404830080).

Almost surely, 2^{9748849824000} is an apocalyptic number.

9748849824000 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 9748849824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21202364252160).

9748849824000 is an abundant number, since it is smaller than the sum of its proper divisors (32655878680320).

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

9748849824000 is a wasteful number, since it uses less digits than its factorization.

9748849824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 9748849824000 in words is "nine trillion, seven hundred forty-eight billion, eight hundred forty-nine million, eight hundred twenty-four thousand".