8242727840320 has 28 divisors (see below), whose sum is σ = 19627995670524. Its totient is φ = 3297091136000.

The previous prime is 8242727840261. The next prime is 8242727840489. The reversal of 8242727840320 is 230487272428.

It can be written as a sum of positive squares in 2 ways, for example, as 3561493644864 + 4681234195456 = 1887192^2 + 2163616^2 .

It is a super-2 number, since 2×8242727840320² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12879261931 + ... + 12879262570.

Almost surely, 2^{8242727840320} is an apocalyptic number.

8242727840320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8242727840320 is an abundant number, since it is smaller than the sum of its proper divisors (11385267830204).

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

8242727840320 is a wasteful number, since it uses less digits than its factorization.

8242727840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25758524518 (or 25758524508 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 49.

The spelling of 8242727840320 in words is "eight trillion, two hundred forty-two billion, seven hundred twenty-seven million, eight hundred forty thousand, three hundred twenty".