6144864336 has 240 divisors, whose sum is σ = 20226741120. Its totient is φ = 1779148800.

The previous prime is 6144864301. The next prime is 6144864359. The reversal of 6144864336 is 6334684416.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6144864291 and 6144864300.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1238661 + ... + 1243611.

It is an arithmetic number, because the mean of its divisors is an integer number (84278088).

Almost surely, 2^6144864336 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 6144864336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10113370560).

6144864336 is an abundant number, since it is smaller than the sum of its proper divisors (14081876784).

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

6144864336 is a wasteful number, since it uses less digits than its factorization.

6144864336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011 (or 4986 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 6144864336 is about 78389.1850703909. The cubic root of 6144864336 is about 1831.6286710138.

The spelling of 6144864336 in words is "six billion, one hundred forty-four million, eight hundred sixty-four thousand, three hundred thirty-six".