6830128620 has 216 divisors, whose sum is σ = 24155402544. Its totient is φ = 1557626112.

The previous prime is 6830128619. The next prime is 6830128621. The reversal of 6830128620 is 268210386.

6830128620 is a `hidden beast` number, since 6 + 8 + 3 + 0 + 1 + 28 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (6830128619) and next prime (6830128621).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6830128621) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7734699 + ... + 7735581.

Almost surely, 2^6830128620 is an apocalyptic number.

6830128620 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6830128620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12077701272).

6830128620 is an abundant number, since it is smaller than the sum of its proper divisors (17325273924).

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

6830128620 is a wasteful number, since it uses less digits than its factorization.

6830128620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6830128620 is about 82644.5922005790. The cubic root of 6830128620 is about 1897.3303800427.

The spelling of 6830128620 in words is "six billion, eight hundred thirty million, one hundred twenty-eight thousand, six hundred twenty".