6678682400 has 288 divisors, whose sum is σ = 18776298240. Its totient is φ = 2299207680.

The previous prime is 6678682391. The next prime is 6678682403. The reversal of 6678682400 is 42868766.

It is not an unprimeable number, because it can be changed into a prime (6678682403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 14424569 + ... + 14425031.

It is an arithmetic number, because the mean of its divisors is an integer number (65195480).

Almost surely, 2^6678682400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6678682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9388149120).

6678682400 is an abundant number, since it is smaller than the sum of its proper divisors (12097615840).

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

6678682400 is a wasteful number, since it uses less digits than its factorization.

6678682400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The square root of 6678682400 is about 81723.2060066172. The cubic root of 6678682400 is about 1883.2021029157.

The spelling of 6678682400 in words is "six billion, six hundred seventy-eight million, six hundred eighty-two thousand, four hundred".