8127007218 has 192 divisors, whose sum is σ = 20770888320. Its totient is φ = 2270592000.

The previous prime is 8127007201. The next prime is 8127007219.

It is a happy number.

8127007218 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (8127007219) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27737080 + ... + 27737372.

It is an arithmetic number, because the mean of its divisors is an integer number (108181710).

Almost surely, 2^8127007218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8127007218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10385444160).

8127007218 is an abundant number, since it is smaller than the sum of its proper divisors (12643881102).

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

8127007218 is a wasteful number, since it uses less digits than its factorization.

8127007218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 8127007218 is about 90149.9152412247. The cubic root of 8127007218 is about 2010.5284138304.

It can be divided in two parts, 812700 and 7218, that added together give a palindrome (819918).

The spelling of 8127007218 in words is "eight billion, one hundred twenty-seven million, seven thousand, two hundred eighteen".