9936741919104 has 1536 divisors, whose sum is σ = 39520825344000. Its totient is φ = 2313215262720.

The previous prime is 9936741919079. The next prime is 9936741919109. The reversal of 9936741919104 is 4019191476399.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9936741919109) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 7533541357 + ... + 7533542675.

It is an arithmetic number, because the mean of its divisors is an integer number (25729704000).

Almost surely, 2^{9936741919104} is an apocalyptic number.

9936741919104 is a gapful number since it is divisible by the number (94) 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 9936741919104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19760412672000).

9936741919104 is an abundant number, since it is smaller than the sum of its proper divisors (29584083424896).

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

9936741919104 is a wasteful number, since it uses less digits than its factorization.

9936741919104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 9936741919104 in words is "nine trillion, nine hundred thirty-six billion, seven hundred forty-one million, nine hundred nineteen thousand, one hundred four".