6679826400 has 432 divisors, whose sum is σ = 24154454016. Its totient is φ = 1601832960.

The previous prime is 6679826393. The next prime is 6679826407. The reversal of 6679826400 is 46289766.

It is an interprime number because it is at equal distance from previous prime (6679826393) and next prime (6679826407).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6679826400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6679826407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17440609 + ... + 17440991.

It is an arithmetic number, because the mean of its divisors is an integer number (55913088).

Almost surely, 2^6679826400 is an apocalyptic number.

6679826400 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 6679826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12077227008).

6679826400 is an abundant number, since it is smaller than the sum of its proper divisors (17474627616).

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

6679826400 is a wasteful number, since it uses less digits than its factorization.

6679826400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 6679826400 is about 81730.2049428484. The cubic root of 6679826400 is about 1883.3096221378.

The spelling of 6679826400 in words is "six billion, six hundred seventy-nine million, eight hundred twenty-six thousand, four hundred".