6832140625 has 56 divisors (see below), whose sum is σ = 9175663800. Its totient is φ = 5086400000.

The previous prime is 6832140577. The next prime is 6832140661. The reversal of 6832140625 is 5260412386.

6832140625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 28 ways, for example, as 2416803921 + 4415336704 = 49161^2 + 66448^2 .

It is not a de Polignac number, because 6832140625 - 2¹⁷ = 6832009553 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 76765581 + ... + 76765669.

Almost surely, 2^6832140625 is an apocalyptic number.

It is an amenable number.

6832140625 is a deficient number, since it is larger than the sum of its proper divisors (2343523175).

6832140625 is an frugal number, since it uses more digits than its factorization.

6832140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 6832140625 is about 82656.7639398011. The cubic root of 6832140625 is about 1897.5166656234.

It can be divided in two parts, 68 and 32140625, that multiplied together give a square (2185562500 = 46750²).

The spelling of 6832140625 in words is "six billion, eight hundred thirty-two million, one hundred forty thousand, six hundred twenty-five".