9936741265920 has 720 divisors, whose sum is σ = 40094513449848. Its totient is φ = 2267725824000.

The previous prime is 9936741265909. The next prime is 9936741266029. The reversal of 9936741265920 is 295621476399.

9936741265920 is a `hidden beast` number, since 9 + 9 + 36 + 7 + 4 + 1 + 2 + 6 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8085878970624 + 1850862295296 = 2843568^2 + 1360464^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 764299420 + ... + 764312420.

Almost surely, 2^{9936741265920} is an apocalyptic number.

9936741265920 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 9936741265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20047256724924).

9936741265920 is an abundant number, since it is smaller than the sum of its proper divisors (30157772183928).

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

9936741265920 is a wasteful number, since it uses less digits than its factorization.

9936741265920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13721 (or 13695 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 9936741265920 in words is "nine trillion, nine hundred thirty-six billion, seven hundred forty-one million, two hundred sixty-five thousand, nine hundred twenty".