6126781248 has 224 divisors, whose sum is σ = 21006816000. Its totient is φ = 1750339584.

The previous prime is 6126781231. The next prime is 6126781261. The reversal of 6126781248 is 8421876216.

6126781248 is a `hidden beast` number, since 612 + 6 + 7 + 8 + 1 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587536 + ... + 597872.

Almost surely, 2^6126781248 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 6126781248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10503408000).

6126781248 is an abundant number, since it is smaller than the sum of its proper divisors (14880034752).

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

6126781248 is a wasteful number, since it uses less digits than its factorization.

6126781248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10379 (or 10349 counting only the distinct ones).

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

The square root of 6126781248 is about 78273.7583612797. The cubic root of 6126781248 is about 1829.8302019291.

The spelling of 6126781248 in words is "six billion, one hundred twenty-six million, seven hundred eighty-one thousand, two hundred forty-eight".