6179374880 has 192 divisors, whose sum is σ = 17742654720. Its totient is φ = 1992241152.

The previous prime is 6179374871. The next prime is 6179374889. The reversal of 6179374880 is 884739716.

It is a Cunningham number, because it is equal to 78609²-1.

It is an interprime number because it is at equal distance from previous prime (6179374871) and next prime (6179374889).

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6179374889) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5501999 + ... + 5503121.

It is an arithmetic number, because the mean of its divisors is an integer number (92409660).

Almost surely, 2^6179374880 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 6179374880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8871327360).

6179374880 is an abundant number, since it is smaller than the sum of its proper divisors (11563279840).

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

6179374880 is a wasteful number, since it uses less digits than its factorization.

6179374880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 53.

The square root of 6179374880 is about 78608.9999936394. Note that the first 5 decimals coincide. The cubic root of 6179374880 is about 1835.0511786987.

The spelling of 6179374880 in words is "six billion, one hundred seventy-nine million, three hundred seventy-four thousand, eight hundred eighty".