6679225280 has 448 divisors, whose sum is σ = 20755660800. Its totient is φ = 2032128000.

The previous prime is 6679225271. The next prime is 6679225327. The reversal of 6679225280 is 825229766.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×6679225280² = 89224100681982156800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44233205 + ... + 44233355.

It is an arithmetic number, because the mean of its divisors is an integer number (46329600).

Almost surely, 2^6679225280 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 6679225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10377830400).

6679225280 is an abundant number, since it is smaller than the sum of its proper divisors (14076435520).

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

6679225280 is a wasteful number, since it uses less digits than its factorization.

6679225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The square root of 6679225280 is about 81726.5273947205. The cubic root of 6679225280 is about 1883.2531272044.

The spelling of 6679225280 in words is "six billion, six hundred seventy-nine million, two hundred twenty-five thousand, two hundred eighty".