90832273099740 has 288 divisors, whose sum is σ = 304148758769856. Its totient is φ = 21846821068800.

The previous prime is 90832273099717. The next prime is 90832273099829. The reversal of 90832273099740 is 4799037223809.

90832273099740 is a `hidden beast` number, since 90 + 8 + 322 + 73 + 0 + 99 + 74 + 0 = 666.

90832273099740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 461290 + ... + 13486190.

It is an arithmetic number, because the mean of its divisors is an integer number (1056072079062).

Almost surely, 2^{90832273099740} is an apocalyptic number.

90832273099740 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 90832273099740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152074379384928).

90832273099740 is an abundant number, since it is smaller than the sum of its proper divisors (213316485670116).

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

90832273099740 is a wasteful number, since it uses less digits than its factorization.

90832273099740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13025029 (or 13025024 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 90832273099740 in words is "ninety trillion, eight hundred thirty-two billion, two hundred seventy-three million, ninety-nine thousand, seven hundred forty".