6834868992 has 144 divisors (see below), whose sum is σ = 23099489280. Its totient is φ = 1952805888.

The previous prime is 6834868987. The next prime is 6834869053. The reversal of 6834868992 is 2998684386.

6834868992 is a `hidden beast` number, since 68 + 3 + 486 + 8 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22248 + ... + 119015.

It is an arithmetic number, because the mean of its divisors is an integer number (160413120).

Almost surely, 2^6834868992 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 6834868992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11549744640).

6834868992 is an abundant number, since it is smaller than the sum of its proper divisors (16264620288).

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

6834868992 is a wasteful number, since it uses less digits than its factorization.

6834868992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141295 (or 141275 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The square root of 6834868992 is about 82673.2664892346. The cubic root of 6834868992 is about 1897.7692186245.

It can be divided in two parts, 6834 and 868992, that added together give a triangular number (875826 = T₁₃₂₃).

The spelling of 6834868992 in words is "six billion, eight hundred thirty-four million, eight hundred sixty-eight thousand, nine hundred ninety-two".