6687820800 has 198 divisors, whose sum is σ = 23946387348. Its totient is φ = 1783357440.

The previous prime is 6687820771. The next prime is 6687820801. The reversal of 6687820800 is 80287866.

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

It is not an unprimeable number, because it can be changed into a prime (6687820801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 215887 + ... + 244913.

Almost surely, 2^6687820800 is an apocalyptic number.

6687820800 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 6687820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11973193674).

6687820800 is an abundant number, since it is smaller than the sum of its proper divisors (17258566548).

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

6687820800 is a wasteful number, since it uses less digits than its factorization.

6687820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29063 (or 29037 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 6687820800 is about 81779.0975738911. The cubic root of 6687820800 is about 1884.0606360730.

It can be divided in two parts, 66878 and 20800, that added together give a palindrome (87678).

The spelling of 6687820800 in words is "six billion, six hundred eighty-seven million, eight hundred twenty thousand, eight hundred".