6144124720 has 20 divisors (see below), whose sum is σ = 14285090160. Its totient is φ = 2457649856.

The previous prime is 6144124709. The next prime is 6144124729. The reversal of 6144124720 is 274214416.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (6144124729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38400700 + ... + 38400859.

It is an arithmetic number, because the mean of its divisors is an integer number (714254508).

Almost surely, 2^6144124720 is an apocalyptic number.

It is an amenable number.

6144124720 is an abundant number, since it is smaller than the sum of its proper divisors (8140965440).

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

6144124720 is a wasteful number, since it uses less digits than its factorization.

6144124720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76801572 (or 76801566 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 6144124720 is about 78384.4673388803. The cubic root of 6144124720 is about 1831.5551811230. Note that the first 3 decimals are identical.

The spelling of 6144124720 in words is "six billion, one hundred forty-four million, one hundred twenty-four thousand, seven hundred twenty".