73805834268 has 36 divisors (see below), whose sum is σ = 194676260688. Its totient is φ = 23532294720.

The previous prime is 73805834231. The next prime is 73805834269. The reversal of 73805834268 is 86243850837.

73805834268 is a `hidden beast` number, since 7 + 38 + 0 + 583 + 4 + 26 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73805834269) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 44567913 + ... + 44569568.

It is an arithmetic number, because the mean of its divisors is an integer number (5407673908).

Almost surely, 2^73805834268 is an apocalyptic number.

It is an amenable number.

73805834268 is an abundant number, since it is smaller than the sum of its proper divisors (120870426420).

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

73805834268 is a wasteful number, since it uses less digits than its factorization.

73805834268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89137514 (or 89137509 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 73805834268 in words is "seventy-three billion, eight hundred five million, eight hundred thirty-four thousand, two hundred sixty-eight".