6179442048 has 480 divisors, whose sum is σ = 21066312960. Its totient is φ = 1787111424.

The previous prime is 6179442011. The next prime is 6179442079. The reversal of 6179442048 is 8402449716.

6179442048 is a `hidden beast` number, since 617 + 9 + 4 + 4 + 20 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6179441994 and 6179442012.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 48656961 + ... + 48657087.

It is an arithmetic number, because the mean of its divisors is an integer number (43888152).

Almost surely, 2^6179442048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6179442048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10533156480).

6179442048 is an abundant number, since it is smaller than the sum of its proper divisors (14886870912).

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

6179442048 is a wasteful number, since it uses less digits than its factorization.

6179442048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6179442048 is about 78609.4272209129. The cubic root of 6179442048 is about 1835.0578274980.

The spelling of 6179442048 in words is "six billion, one hundred seventy-nine million, four hundred forty-two thousand, forty-eight".