6679827000 has 1344 divisors, whose sum is σ = 31489417440. Its totient is φ = 1306368000.

The previous prime is 6679826987. The next prime is 6679827029. The reversal of 6679827000 is 7289766.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 392930992 + ... + 392931008.

Almost surely, 2^6679827000 is an apocalyptic number.

6679827000 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 6679827000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15744708720).

6679827000 is an abundant number, since it is smaller than the sum of its proper divisors (24809590440).

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

6679827000 is a wasteful number, since it uses less digits than its factorization.

6679827000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 6679827000 is about 81730.2086134619. The cubic root of 6679827000 is about 1883.3096785257.

The spelling of 6679827000 in words is "six billion, six hundred seventy-nine million, eight hundred twenty-seven thousand".