6669280800 has 1296 divisors, whose sum is σ = 31222376640. Its totient is φ = 1358622720.

The previous prime is 6669280757. The next prime is 6669280817. The reversal of 6669280800 is 80829666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 229975186 + ... + 229975214.

It is an arithmetic number, because the mean of its divisors is an integer number (24091340).

Almost surely, 2^6669280800 is an apocalyptic number.

6669280800 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 6669280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15611188320).

6669280800 is an abundant number, since it is smaller than the sum of its proper divisors (24553095840).

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

6669280800 is a wasteful number, since it uses less digits than its factorization.

6669280800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6669280800 is about 81665.6647557589. The cubic root of 6669280800 is about 1882.3180249804.

The spelling of 6669280800 in words is "six billion, six hundred sixty-nine million, two hundred eighty thousand, eight hundred".