6126538752 has 156 divisors (see below), whose sum is σ = 18630265680. Its totient is φ = 1934475264.

The previous prime is 6126538751. The next prime is 6126538793. The reversal of 6126538752 is 2578356216.

6126538752 is a `hidden beast` number, since 6 + 1 + 265 + 387 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6126538698 and 6126538707.

It is not an unprimeable number, because it can be changed into a prime (6126538751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 696043 + ... + 704789.

It is an arithmetic number, because the mean of its divisors is an integer number (119424780).

Almost surely, 2^6126538752 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 6126538752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9315132840).

6126538752 is an abundant number, since it is smaller than the sum of its proper divisors (12503726928).

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

6126538752 is a wasteful number, since it uses less digits than its factorization.

6126538752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8796 (or 8771 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 6126538752 is about 78272.2093210611. The cubic root of 6126538752 is about 1829.8060602500.

The spelling of 6126538752 in words is "six billion, one hundred twenty-six million, five hundred thirty-eight thousand, seven hundred fifty-two".