6142882304 has 160 divisors (see below), whose sum is σ = 13712455680. Its totient is φ = 2747437056.

The previous prime is 6142882259. The next prime is 6142882327. The reversal of 6142882304 is 4032882416.

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 15 ways as a sum of consecutive naturals, for example, 48369089 + ... + 48369215.

It is an arithmetic number, because the mean of its divisors is an integer number (85702848).

Almost surely, 2^6142882304 is an apocalyptic number.

6142882304 is a gapful number since it is divisible by the number (64) 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 6142882304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856227840).

6142882304 is an abundant number, since it is smaller than the sum of its proper divisors (7569573376).

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

6142882304 is an equidigital number, since it uses as much as digits as its factorization.

6142882304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 6142882304 is about 78376.5417966371. The cubic root of 6142882304 is about 1831.4317186303.

The spelling of 6142882304 in words is "six billion, one hundred forty-two million, eight hundred eighty-two thousand, three hundred four".