7818116160 has 224 divisors, whose sum is σ = 25628803200. Its totient is φ = 2017935360.

The previous prime is 7818116147. The next prime is 7818116183. The reversal of 7818116160 is 616118187.

It is a super-2 number, since 2×7818116160² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5470326 + ... + 5471754.

It is an arithmetic number, because the mean of its divisors is an integer number (114414300).

Almost surely, 2^7818116160 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 7818116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12814401600).

7818116160 is an abundant number, since it is smaller than the sum of its proper divisors (17810687040).

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

7818116160 is a wasteful number, since it uses less digits than its factorization.

7818116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 39.

The square root of 7818116160 is about 88420.1117393549. Note that the first 3 decimals coincide. The cubic root of 7818116160 is about 1984.7266729807.

The spelling of 7818116160 in words is "seven billion, eight hundred eighteen million, one hundred sixteen thousand, one hundred sixty".