6834374688 has 96 divisors (see below), whose sum is σ = 18275846400. Its totient is φ = 2235856896.

The previous prime is 6834374653. The next prime is 6834374707. The reversal of 6834374688 is 8864734386.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1309428 + ... + 1314636.

It is an arithmetic number, because the mean of its divisors is an integer number (190373400).

Almost surely, 2^6834374688 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 6834374688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9137923200).

6834374688 is an abundant number, since it is smaller than the sum of its proper divisors (11441471712).

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

6834374688 is a wasteful number, since it uses less digits than its factorization.

6834374688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474 (or 5466 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 57.

The square root of 6834374688 is about 82670.2769319179. The cubic root of 6834374688 is about 1897.7234680509.

The spelling of 6834374688 in words is "six billion, eight hundred thirty-four million, three hundred seventy-four thousand, six hundred eighty-eight".