842083755264 has 216 divisors, whose sum is σ = 2519574471232. Its totient is φ = 280503336960.

The previous prime is 842083755263. The next prime is 842083755277. The reversal of 842083755264 is 462557380248.

842083755264 is a `hidden beast` number, since 8 + 4 + 2 + 0 + 8 + 375 + 5 + 264 = 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 a self number, because there is not a number n which added to its sum of digits gives 842083755264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842083755263) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 113899152 + ... + 113906544.

Almost surely, 2^842083755264 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 842083755264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259787235616).

842083755264 is an abundant number, since it is smaller than the sum of its proper divisors (1677490715968).

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

842083755264 is an equidigital number, since it uses as much as digits as its factorization.

842083755264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9255 (or 9229 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 842083755264 in words is "eight hundred forty-two billion, eighty-three million, seven hundred fifty-five thousand, two hundred sixty-four".