7218132768 has 216 divisors, whose sum is σ = 26049114000. Its totient is φ = 1874799360.

The previous prime is 7218132767. The next prime is 7218132773. The reversal of 7218132768 is 8672318127.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7218132767) 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 35 ways as a sum of consecutive naturals, for example, 131983 + ... + 178481.

It is an arithmetic number, because the mean of its divisors is an integer number (120597750).

Almost surely, 2^7218132768 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 7218132768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13024557000).

7218132768 is an abundant number, since it is smaller than the sum of its proper divisors (18830981232).

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

7218132768 is a wasteful number, since it uses less digits than its factorization.

7218132768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46540 (or 46522 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 7218132768 is about 84959.5949142885. The cubic root of 7218132768 is about 1932.5984283570.

The spelling of 7218132768 in words is "seven billion, two hundred eighteen million, one hundred thirty-two thousand, seven hundred sixty-eight".