6126646500 has 144 divisors (see below), whose sum is σ = 20814459120. Its totient is φ = 1508083200.

The previous prime is 6126646499. The next prime is 6126646511. The reversal of 6126646500 is 56466216.

It is a happy number.

6126646500 is a `hidden beast` number, since 6 + 1 + 2 + 6 + 646 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1256560704 + 4870085796 = 35448^2 + 69786^2 .

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

It is an unprimeable number.

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, 6136 + ... + 110864.

It is an arithmetic number, because the mean of its divisors is an integer number (144544855).

Almost surely, 2^6126646500 is an apocalyptic number.

6126646500 is a gapful number since it is divisible by the number (60) 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 6126646500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10407229560).

6126646500 is an abundant number, since it is smaller than the sum of its proper divisors (14687812620).

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

6126646500 is a wasteful number, since it uses less digits than its factorization.

6126646500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104767 (or 104752 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6126646500 is about 78272.8976083037. The cubic root of 6126646500 is about 1829.8167871763.

The spelling of 6126646500 in words is "six billion, one hundred twenty-six million, six hundred forty-six thousand, five hundred".