7842285168 has 80 divisors (see below), whose sum is σ = 20782003200. Its totient is φ = 2546818560.

The previous prime is 7842285167. The next prime is 7842285247. The reversal of 7842285168 is 8615822487.

It is a self number, because there is not a number n which added to its sum of digits gives 7842285168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7842285163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1688193 + ... + 1692831.

It is an arithmetic number, because the mean of its divisors is an integer number (259775040).

Almost surely, 2^7842285168 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 7842285168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10391001600).

7842285168 is an abundant number, since it is smaller than the sum of its proper divisors (12939718032).

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

7842285168 is a wasteful number, since it uses less digits than its factorization.

7842285168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5544 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 51.

The square root of 7842285168 is about 88556.6777154608. The cubic root of 7842285168 is about 1986.7697708353.

It can be divided in two parts, 784228 and 5168, that added together give a triangular number (789396 = T₁₂₅₆).

The spelling of 7842285168 in words is "seven billion, eight hundred forty-two million, two hundred eighty-five thousand, one hundred sixty-eight".