6126757056 has 336 divisors, whose sum is σ = 21000086016. Its totient is φ = 1734856704.

The previous prime is 6126757033. The next prime is 6126757093. The reversal of 6126757056 is 6507576216.

6126757056 is a `hidden beast` number, since 6 + 1 + 26 + 7 + 570 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18180120 + ... + 18180456.

It is an arithmetic number, because the mean of its divisors is an integer number (62500256).

Almost surely, 2^6126757056 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 6126757056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10500043008).

6126757056 is an abundant number, since it is smaller than the sum of its proper divisors (14873328960).

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

6126757056 is a wasteful number, since it uses less digits than its factorization.

6126757056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 6126757056 is about 78273.6038265774. The cubic root of 6126757056 is about 1829.8277935241.

The spelling of 6126757056 in words is "six billion, one hundred twenty-six million, seven hundred fifty-seven thousand, fifty-six".