6834042500 has 90 divisors (see below), whose sum is σ = 15863342418. Its totient is φ = 2566400000.

The previous prime is 6834042491. The next prime is 6834042539. The reversal of 6834042500 is 52404386.

It can be written as a sum of positive squares in 15 ways, for example, as 2363515456 + 4470527044 = 48616^2 + 66862^2 .

It is a super-3 number, since 3×6834042500³ (a number of 30 digits) contains 333 as substring.

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 29 ways as a sum of consecutive naturals, for example, 17042300 + ... + 17042700.

Almost surely, 2^6834042500 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 6834042500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931671209).

6834042500 is an abundant number, since it is smaller than the sum of its proper divisors (9029299918).

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

6834042500 is an equidigital number, since it uses as much as digits as its factorization.

6834042500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 6834042500 is about 82668.2677936341. The cubic root of 6834042500 is about 1897.6927209718.

Adding to 6834042500 its reverse (52404386), we get a palindrome (6886446886).

The spelling of 6834042500 in words is "six billion, eight hundred thirty-four million, forty-two thousand, five hundred".