7218114866760 has 256 divisors, whose sum is σ = 24798506803200. Its totient is φ = 1646478876672.

The previous prime is 7218114866747. The next prime is 7218114866761. The reversal of 7218114866760 is 676684118127.

It is a self number, because there is not a number n which added to its sum of digits gives 7218114866760.

It is not an unprimeable number, because it can be changed into a prime (7218114866761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1876295157 + ... + 1876299003.

It is an arithmetic number, because the mean of its divisors is an integer number (96869167200).

Almost surely, 2^{7218114866760} is an apocalyptic number.

7218114866760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7218114866760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12399253401600).

7218114866760 is an abundant number, since it is smaller than the sum of its proper divisors (17580391936440).

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

7218114866760 is a wasteful number, since it uses less digits than its factorization.

7218114866760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7860 (or 7856 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 7218114866760 in words is "seven trillion, two hundred eighteen billion, one hundred fourteen million, eight hundred sixty-six thousand, seven hundred sixty".