6144347880 has 512 divisors, whose sum is σ = 23639040000. Its totient is φ = 1405071360.

The previous prime is 6144347879. The next prime is 6144347887. The reversal of 6144347880 is 887434416.

6144347880 is a `hidden beast` number, since 61 + 4 + 43 + 478 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6144347887) 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 127 ways as a sum of consecutive naturals, for example, 30876021 + ... + 30876219.

It is an arithmetic number, because the mean of its divisors is an integer number (46170000).

Almost surely, 2^6144347880 is an apocalyptic number.

6144347880 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 6144347880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11819520000).

6144347880 is an abundant number, since it is smaller than the sum of its proper divisors (17494692120).

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

6144347880 is a wasteful number, since it uses less digits than its factorization.

6144347880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 6144347880 is about 78385.8908222647. The cubic root of 6144347880 is about 1831.5773554182.

The spelling of 6144347880 in words is "six billion, one hundred forty-four million, three hundred forty-seven thousand, eight hundred eighty".