6144159960 has 512 divisors, whose sum is σ = 22619520000. Its totient is φ = 1478062080.

The previous prime is 6144159953. The next prime is 6144160013. The reversal of 6144159960 is 699514416.

It is a happy number.

6144159960 is a `hidden beast` number, since 6 + 14 + 41 + 599 + 6 + 0 = 666.

It is a super-2 number, since 2×6144159960² = 75501403228134403200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56368386 + ... + 56368494.

It is an arithmetic number, because the mean of its divisors is an integer number (44178750).

Almost surely, 2^6144159960 is an apocalyptic number.

6144159960 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 6144159960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11309760000).

6144159960 is an abundant number, since it is smaller than the sum of its proper divisors (16475360040).

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

6144159960 is a wasteful number, since it uses less digits than its factorization.

6144159960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 6144159960 is about 78384.6921279914. The cubic root of 6144159960 is about 1831.5586827816.

The spelling of 6144159960 in words is "six billion, one hundred forty-four million, one hundred fifty-nine thousand, nine hundred sixty".