6830728821 has 72 divisors (see below), whose sum is σ = 12043419648. Its totient is φ = 3714984000.

The previous prime is 6830728811. The next prime is 6830728823. The reversal of 6830728821 is 1288270386.

6830728821 is a `hidden beast` number, since 68 + 307 + 288 + 2 + 1 = 666.

It is not a de Polignac number, because 6830728821 - 2¹³ = 6830720629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6830728823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 829836 + ... + 838026.

Almost surely, 2^6830728821 is an apocalyptic number.

6830728821 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6830728821 is a deficient number, since it is larger than the sum of its proper divisors (5212690827).

6830728821 is a wasteful number, since it uses less digits than its factorization.

6830728821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8303 (or 8293 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 6830728821 is about 82648.2233384360. The cubic root of 6830728821 is about 1897.3859547032.

The spelling of 6830728821 in words is "six billion, eight hundred thirty million, seven hundred twenty-eight thousand, eight hundred twenty-one".