6834510000 has 400 divisors, whose sum is σ = 25973560800. Its totient is φ = 1714176000.

The previous prime is 6834509987. The next prime is 6834510031. The reversal of 6834510000 is 154386.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4589256 + ... + 4590744.

It is an arithmetic number, because the mean of its divisors is an integer number (64933902).

Almost surely, 2^6834510000 is an apocalyptic number.

6834510000 is a gapful number since it is divisible by the number (60) 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 6834510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12986780400).

6834510000 is an abundant number, since it is smaller than the sum of its proper divisors (19139050800).

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

6834510000 is a wasteful number, since it uses less digits than its factorization.

6834510000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6834510000 is about 82671.0953114811. The cubic root of 6834510000 is about 1897.7359921454.

Adding to 6834510000 its reverse (154386), we get a palindrome (6834664386).

The spelling of 6834510000 in words is "six billion, eight hundred thirty-four million, five hundred ten thousand".