6834080000 has 270 divisors, whose sum is σ = 18790002462. Its totient is φ = 2478080000.

The previous prime is 6834079963. The next prime is 6834080017. The reversal of 6834080000 is 804386.

It can be written as a sum of positive squares in 5 ways, for example, as 2996029696 + 3838050304 = 54736^2 + 61952^2 .

It is a super-5 number, since 5×6834080000⁵ (a number of 50 digits) contains 55555 as substring. Note that it is a super-d number also for d = 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19359824 + ... + 19360176.

Almost surely, 2^6834080000 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 6834080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9395001231).

6834080000 is an abundant number, since it is smaller than the sum of its proper divisors (11955922462).

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

6834080000 is an equidigital number, since it uses as much as digits as its factorization.

6834080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 6834080000 is about 82668.4946034461. The cubic root of 6834080000 is about 1897.6961919944.

Adding to 6834080000 its reverse (804386), we get a palindrome (6834884386).

The spelling of 6834080000 in words is "six billion, eight hundred thirty-four million, eighty thousand".