6645082800 has 240 divisors, whose sum is σ = 22495088000. Its totient is φ = 1672151040.

The previous prime is 6645082793. The next prime is 6645082817. The reversal of 6645082800 is 82805466.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8640816 + ... + 8641584.

Almost surely, 2^6645082800 is an apocalyptic number.

6645082800 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 6645082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11247544000).

6645082800 is an abundant number, since it is smaller than the sum of its proper divisors (15850005200).

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

6645082800 is a wasteful number, since it uses less digits than its factorization.

6645082800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 6645082800 is about 81517.3772885266. The cubic root of 6645082800 is about 1880.0387422226.

The spelling of 6645082800 in words is "six billion, six hundred forty-five million, eighty-two thousand, eight hundred".