6144120780 has 144 divisors (see below), whose sum is σ = 20041572096. Its totient is φ = 1402316160.

The previous prime is 6144120743. The next prime is 6144120791. The reversal of 6144120780 is 870214416.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3030127 + ... + 3032153.

It is an arithmetic number, because the mean of its divisors is an integer number (139177584).

Almost surely, 2^6144120780 is an apocalyptic number.

6144120780 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 6144120780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10020786048).

6144120780 is an abundant number, since it is smaller than the sum of its proper divisors (13897451316).

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

6144120780 is a wasteful number, since it uses less digits than its factorization.

6144120780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 6144120780 is about 78384.4422063460. The cubic root of 6144120780 is about 1831.5547896201.

The spelling of 6144120780 in words is "six billion, one hundred forty-four million, one hundred twenty thousand, seven hundred eighty".