6841024128 has 320 divisors, whose sum is σ = 22160061000. Its totient is φ = 2086207488.

The previous prime is 6841024117. The next prime is 6841024133. The reversal of 6841024128 is 8214201486.

It can be written as a sum of positive squares in 4 ways, for example, as 6514426944 + 326597184 = 80712^2 + 18072^2 .

It is a super-2 number, since 2×6841024128² = 93599222239756320768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6841024092 and 6841024101.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6520948 + ... + 6521996.

Almost surely, 2^6841024128 is an apocalyptic number.

6841024128 is a gapful number since it is divisible by the number (68) 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 6841024128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11080030500).

6841024128 is an abundant number, since it is smaller than the sum of its proper divisors (15319036872).

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

6841024128 is a wasteful number, since it uses less digits than its factorization.

6841024128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 6841024128 is about 82710.4837853098. The cubic root of 6841024128 is about 1898.3387259044.

The spelling of 6841024128 in words is "six billion, eight hundred forty-one million, twenty-four thousand, one hundred twenty-eight".