9906035927040 has 1440 divisors, whose sum is σ = 40146939312480. Its totient is φ = 2316858163200.

The previous prime is 9906035926957. The next prime is 9906035927071. The reversal of 9906035927040 is 407295306099.

9906035927040 is a `hidden beast` number, since 9 + 9 + 0 + 6 + 0 + 3 + 592 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7673148795 + ... + 7673150085.

It is an arithmetic number, because the mean of its divisors is an integer number (27879818967).

Almost surely, 2^{9906035927040} is an apocalyptic number.

9906035927040 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 9906035927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20073469656240).

9906035927040 is an abundant number, since it is smaller than the sum of its proper divisors (30240903385440).

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

9906035927040 is a wasteful number, since it uses less digits than its factorization.

9906035927040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 9906035927040 in words is "nine trillion, nine hundred six billion, thirty-five million, nine hundred twenty-seven thousand, forty".