9305638655040 has 4032 divisors, whose sum is σ = 45227661583104. Its totient is φ = 1797896798208.

The previous prime is 9305638655009. The next prime is 9305638655113. The reversal of 9305638655040 is 405568365039.

It is a happy number.

9305638655040 is a `hidden beast` number, since 9 + 3 + 0 + 5 + 6 + 3 + 86 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 36208710592 + ... + 36208710848.

It is an arithmetic number, because the mean of its divisors is an integer number (11217177972).

Almost surely, 2^{9305638655040} is an apocalyptic number.

9305638655040 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 9305638655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22613830791552).

9305638655040 is an abundant number, since it is smaller than the sum of its proper divisors (35922022928064).

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

9305638655040 is a wasteful number, since it uses less digits than its factorization.

9305638655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 9305638655040 in words is "nine trillion, three hundred five billion, six hundred thirty-eight million, six hundred fifty-five thousand, forty".