6268768128 has 384 divisors, whose sum is σ = 21854177280. Its totient is φ = 1686085632.

The previous prime is 6268768127. The next prime is 6268768147. The reversal of 6268768128 is 8218678626.

6268768128 is a `hidden beast` number, since 626 + 8 + 7 + 6 + 8 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6268768123) 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 47 ways as a sum of consecutive naturals, for example, 13539225 + ... + 13539687.

It is an arithmetic number, because the mean of its divisors is an integer number (56911920).

Almost surely, 2^6268768128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6268768128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10927088640).

6268768128 is an abundant number, since it is smaller than the sum of its proper divisors (15585409152).

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

6268768128 is a wasteful number, since it uses less digits than its factorization.

6268768128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 571 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 6268768128 is about 79175.5525904303. The cubic root of 6268768128 is about 1843.8577034730.

The spelling of 6268768128 in words is "six billion, two hundred sixty-eight million, seven hundred sixty-eight thousand, one hundred twenty-eight".