6611680800 has 432 divisors, whose sum is σ = 25994273760. Its totient is φ = 1571512320.

The previous prime is 6611680799. The next prime is 6611680841. The reversal of 6611680800 is 80861166.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 2324179 + ... + 2327021.

It is an arithmetic number, because the mean of its divisors is an integer number (60171930).

Almost surely, 2^6611680800 is an apocalyptic number.

6611680800 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 6611680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12997136880).

6611680800 is an abundant number, since it is smaller than the sum of its proper divisors (19382592960).

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

6611680800 is a wasteful number, since it uses less digits than its factorization.

6611680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 6611680800 is about 81312.2426206534. The cubic root of 6611680800 is about 1876.8833981992.

The spelling of 6611680800 in words is "six billion, six hundred eleven million, six hundred eighty thousand, eight hundred".