6825406872 has 96 divisors (see below), whose sum is σ = 17621830800. Its totient is φ = 2202978816.

The previous prime is 6825406871. The next prime is 6825406901. The reversal of 6825406872 is 2786045286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6825406871) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9626454 + ... + 9627162.

Almost surely, 2^6825406872 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 6825406872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8810915400).

6825406872 is an abundant number, since it is smaller than the sum of its proper divisors (10796423928).

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

6825406872 is a wasteful number, since it uses less digits than its factorization.

6825406872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 6825406872 is about 82616.0206739589. The cubic root of 6825406872 is about 1896.8930636738.

The spelling of 6825406872 in words is "six billion, eight hundred twenty-five million, four hundred six thousand, eight hundred seventy-two".