7841168160 has 144 divisors (see below), whose sum is σ = 28732366656. Its totient is φ = 1792261632.

The previous prime is 7841168143. The next prime is 7841168171. The reversal of 7841168160 is 618611487.

It is a super-2 number, since 2×7841168160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143172 + ... + 190211.

It is an arithmetic number, because the mean of its divisors is an integer number (199530324).

Almost surely, 2^7841168160 is an apocalyptic number.

7841168160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7841168160 is an abundant number, since it is smaller than the sum of its proper divisors (20891198496).

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

7841168160 is a wasteful number, since it uses less digits than its factorization.

7841168160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333415 (or 333400 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 7841168160 is about 88550.3707502120. The cubic root of 7841168160 is about 1986.6754385051.

The spelling of 7841168160 in words is "seven billion, eight hundred forty-one million, one hundred sixty-eight thousand, one hundred sixty".