9105834608640 has 3456 divisors, whose sum is σ = 43604401800960. Its totient is φ = 1730779545600.

The previous prime is 9105834608609. The next prime is 9105834608659. The reversal of 9105834608640 is 468064385019.

9105834608640 is a `hidden beast` number, since 9 + 10 + 58 + 3 + 460 + 86 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 34622945149 + ... + 34622945411.

It is an arithmetic number, because the mean of its divisors is an integer number (12617014410).

Almost surely, 2^{9105834608640} is an apocalyptic number.

9105834608640 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 9105834608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21802200900480).

9105834608640 is an abundant number, since it is smaller than the sum of its proper divisors (34498567192320).

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

9105834608640 is a wasteful number, since it uses less digits than its factorization.

9105834608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 9105834608640 in words is "nine trillion, one hundred five billion, eight hundred thirty-four million, six hundred eight thousand, six hundred forty".