7842065168 has 80 divisors (see below), whose sum is σ = 18446736000. Its totient is φ = 3154692096.

The previous prime is 7842065123. The next prime is 7842065171. The reversal of 7842065168 is 8615602487.

It is a super-2 number, since 2×7842065168² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215048 + ... + 248856.

It is an arithmetic number, because the mean of its divisors is an integer number (230584200).

Almost surely, 2^7842065168 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 7842065168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9223368000).

7842065168 is an abundant number, since it is smaller than the sum of its proper divisors (10604670832).

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

7842065168 is a wasteful number, since it uses less digits than its factorization.

7842065168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33952 (or 33946 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 7842065168 is about 88555.4355643966. The cubic root of 7842065168 is about 1986.7511923458.

The spelling of 7842065168 in words is "seven billion, eight hundred forty-two million, sixty-five thousand, one hundred sixty-eight".