6676687200 has 144 divisors (see below), whose sum is σ = 21763138320. Its totient is φ = 1777950720.

The previous prime is 6676687183. The next prime is 6676687201. The reversal of 6676687200 is 27866766.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6676687200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6676687201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2247316 + ... + 2250284.

It is an arithmetic number, because the mean of its divisors is an integer number (151132905).

Almost surely, 2^6676687200 is an apocalyptic number.

6676687200 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 6676687200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10881569160).

6676687200 is an abundant number, since it is smaller than the sum of its proper divisors (15086451120).

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

6676687200 is a wasteful number, since it uses less digits than its factorization.

6676687200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 6676687200 is about 81710.9980357602. The cubic root of 6676687200 is about 1883.0145539934.

The spelling of 6676687200 in words is "six billion, six hundred seventy-six million, six hundred eighty-seven thousand, two hundred".