8226007216640 has 120 divisors (see below), whose sum is σ = 20617952546268. Its totient is φ = 3147341373440.

The previous prime is 8226007216639. The next prime is 8226007216747. The reversal of 8226007216640 is 466127006228.

It can be written as a sum of positive squares in 2 ways, for example, as 7397790732544 + 828216484096 = 2719888^2 + 910064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8226007216591 and 8226007216600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1682891 + ... + 4391370.

Almost surely, 2^{8226007216640} is an apocalyptic number.

8226007216640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8226007216640 is an abundant number, since it is smaller than the sum of its proper divisors (12391945329628).

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

8226007216640 is an equidigital number, since it uses as much as digits as its factorization.

8226007216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6074330 (or 6074291 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 8226007216640 in words is "eight trillion, two hundred twenty-six billion, seven million, two hundred sixteen thousand, six hundred forty".