6726997771272 has 24 divisors (see below), whose sum is σ = 18218952297390. Its totient is φ = 2242332590400.

The previous prime is 6726997771253. The next prime is 6726997771279. The reversal of 6726997771272 is 2721777996276.

6726997771272 is a `hidden beast` number, since 6 + 7 + 269 + 97 + 7 + 7 + 1 + 272 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6560185973796 + 166811797476 = 2561286^2 + 408426^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 93430524601 = 6726997771272 / (6 + 7 + 2 + 6 + 9 + 9 + 7 + 7 + 7 + 1 + 2 + 7 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 6726997771272.

It is not an unprimeable number, because it can be changed into a prime (6726997771279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46715262229 + ... + 46715262372.

Almost surely, 2^{6726997771272} is an apocalyptic number.

It is an amenable number.

6726997771272 is an abundant number, since it is smaller than the sum of its proper divisors (11491954526118).

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

6726997771272 is a wasteful number, since it uses less digits than its factorization.

6726997771272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93430524613 (or 93430524606 counting only the distinct ones).

The product of its digits is 392073696, while the sum is 72.

The spelling of 6726997771272 in words is "six trillion, seven hundred twenty-six billion, nine hundred ninety-seven million, seven hundred seventy-one thousand, two hundred seventy-two".