6874635888 has 200 divisors, whose sum is σ = 20705520000. Its totient is φ = 2199674880.

The previous prime is 6874635839. The next prime is 6874635893. The reversal of 6874635888 is 8885364786.

6874635888 is a `hidden beast` number, since 6 + 8 + 7 + 46 + 3 + 588 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5503488 + ... + 5504736.

It is an arithmetic number, because the mean of its divisors is an integer number (103527600).

Almost surely, 2^6874635888 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 6874635888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10352760000).

6874635888 is an abundant number, since it is smaller than the sum of its proper divisors (13830884112).

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

6874635888 is a wasteful number, since it uses less digits than its factorization.

6874635888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1422 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The square root of 6874635888 is about 82913.4240518386. The cubic root of 6874635888 is about 1901.4426612880.

The spelling of 6874635888 in words is "six billion, eight hundred seventy-four million, six hundred thirty-five thousand, eight hundred eighty-eight".