6791879000 has 64 divisors (see below), whose sum is σ = 15968815200. Its totient is φ = 2703792000.

The previous prime is 6791878993. The next prime is 6791879009. The reversal of 6791879000 is 9781976.

It is a super-3 number, since 3×6791879000³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6791879009) 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 15 ways as a sum of consecutive naturals, for example, 194906 + ... + 227094.

Almost surely, 2^6791879000 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 6791879000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7984407600).

6791879000 is an abundant number, since it is smaller than the sum of its proper divisors (9176936200).

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

6791879000 is a wasteful number, since it uses less digits than its factorization.

6791879000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32421 (or 32407 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 47.

The square root of 6791879000 is about 82412.8570066589. The cubic root of 6791879000 is about 1893.7819812554.

The spelling of 6791879000 in words is "six billion, seven hundred ninety-one million, eight hundred seventy-nine thousand".