6678144000 has 1056 divisors, whose sum is σ = 28693896192. Its totient is φ = 1474560000.

The previous prime is 6678143999. The next prime is 6678144007. The reversal of 6678144000 is 4418766.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is not an unprimeable number, because it can be changed into a prime (6678144007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215423985 + ... + 215424015.

Almost surely, 2^6678144000 is an apocalyptic number.

6678144000 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 6678144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14346948096).

6678144000 is an abundant number, since it is smaller than the sum of its proper divisors (22015752192).

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

6678144000 is a wasteful number, since it uses less digits than its factorization.

6678144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6678144000 is about 81719.9118942256. The cubic root of 6678144000 is about 1883.1514969629.

The spelling of 6678144000 in words is "six billion, six hundred seventy-eight million, one hundred forty-four thousand".