6834891888 has 640 divisors, whose sum is σ = 24576998400. Its totient is φ = 1791590400.

The previous prime is 6834891887. The next prime is 6834891913. The reversal of 6834891888 is 8881984386.

6834891888 is a `hidden beast` number, since 68 + 3 + 489 + 18 + 88 = 666.

It is a super-3 number, since 3×6834891888³ (a number of 30 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6834891887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93628620 + ... + 93628692.

It is an arithmetic number, because the mean of its divisors is an integer number (38401560).

Almost surely, 2^6834891888 is an apocalyptic number.

6834891888 is a gapful number since it is divisible by the number (68) 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 6834891888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12288499200).

6834891888 is an abundant number, since it is smaller than the sum of its proper divisors (17742106512).

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

6834891888 is a wasteful number, since it uses less digits than its factorization.

6834891888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 63.

The square root of 6834891888 is about 82673.4049619344. The cubic root of 6834891888 is about 1897.7713377227.

The spelling of 6834891888 in words is "six billion, eight hundred thirty-four million, eight hundred ninety-one thousand, eight hundred eighty-eight".