6096726144 has 256 divisors, whose sum is σ = 18869184000. Its totient is φ = 1959552000.

The previous prime is 6096726107. The next prime is 6096726151. The reversal of 6096726144 is 4416276906.

6096726144 is a `hidden beast` number, since 609 + 6 + 7 + 26 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6096726144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8117769 + ... + 8118519.

It is an arithmetic number, because the mean of its divisors is an integer number (73707750).

Almost surely, 2^6096726144 is an apocalyptic number.

6096726144 is a gapful number since it is divisible by the number (64) 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 6096726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434592000).

6096726144 is an abundant number, since it is smaller than the sum of its proper divisors (12772457856).

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

6096726144 is an frugal number, since it uses more digits than its factorization.

6096726144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6096726144 is about 78081.5352308086. The cubic root of 6096726144 is about 1826.8332008173.

The spelling of 6096726144 in words is "six billion, ninety-six million, seven hundred twenty-six thousand, one hundred forty-four".