6727824378025 has 9 divisors (see below), whose sum is σ = 8342518310373. Its totient is φ = 5382249127200.

The previous prime is 6727824378019. The next prime is 6727824378031. The reversal of 6727824378025 is 5208734287276.

The square root of 6727824378025 is 2593805.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (6727824378019) and next prime (6727824378031).

It can be written as a sum of positive squares in 4 ways, for example, as 2087091634329 + 4640732743696 = 1444677^2 + 2154236^2 .

It is not a de Polignac number, because 6727824378025 - 2³ = 6727824378017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 12709645 + ... + 13228405.

Almost surely, 2^{6727824378025} is an apocalyptic number.

6727824378025 is the 2593805-th square number.

6727824378025 is the 1296903-rd centered octagonal number.

It is an amenable number.

6727824378025 is a deficient number, since it is larger than the sum of its proper divisors (1614693932348).

6727824378025 is an frugal number, since it uses more digits than its factorization.

6727824378025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037532 (or 518766 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 61.

The spelling of 6727824378025 in words is "six trillion, seven hundred twenty-seven billion, eight hundred twenty-four million, three hundred seventy-eight thousand, twenty-five".