832275419904 has 216 divisors, whose sum is σ = 2490159798672. Its totient is φ = 277243637760.

The previous prime is 832275419881. The next prime is 832275419909. The reversal of 832275419904 is 409914572238.

832275419904 is a `hidden beast` number, since 8 + 3 + 2 + 2 + 7 + 541 + 9 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (832275419909) 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 23 ways as a sum of consecutive naturals, for example, 122732994 + ... + 122739774.

Almost surely, 2^832275419904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 832275419904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245079899336).

832275419904 is an abundant number, since it is smaller than the sum of its proper divisors (1657884378768).

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

832275419904 is an equidigital number, since it uses as much as digits as its factorization.

832275419904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8785 (or 8759 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 832275419904 in words is "eight hundred thirty-two billion, two hundred seventy-five million, four hundred nineteen thousand, nine hundred four".