6126943680 has 1344 divisors, whose sum is σ = 27958694400. Its totient is φ = 1254113280.

The previous prime is 6126943663. The next prime is 6126943681. The reversal of 6126943680 is 863496216.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6126943681) 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 191 ways as a sum of consecutive naturals, for example, 211273906 + ... + 211273934.

It is an arithmetic number, because the mean of its divisors is an integer number (20802600).

Almost surely, 2^6126943680 is an apocalyptic number.

6126943680 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 6126943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13979347200).

6126943680 is an abundant number, since it is smaller than the sum of its proper divisors (21831750720).

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

6126943680 is a wasteful number, since it uses less digits than its factorization.

6126943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6126943680 is about 78274.7959435219. The cubic root of 6126943680 is about 1829.8463724837.

The spelling of 6126943680 in words is "six billion, one hundred twenty-six million, nine hundred forty-three thousand, six hundred eighty".