6718800384 has 240 divisors, whose sum is σ = 20682604800. Its totient is φ = 2092400640.

The previous prime is 6718800383. The next prime is 6718800391. The reversal of 6718800384 is 4830088176.

It is not an unprimeable number, because it can be changed into a prime (6718800383) 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, 15588649 + ... + 15589079.

It is an arithmetic number, because the mean of its divisors is an integer number (86177520).

Almost surely, 2^6718800384 is an apocalyptic number.

6718800384 is a gapful number since it is divisible by the number (64) 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 6718800384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10341302400).

6718800384 is an abundant number, since it is smaller than the sum of its proper divisors (13963804416).

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

6718800384 is a wasteful number, since it uses less digits than its factorization.

6718800384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 652 counting only the distinct ones).

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

The square root of 6718800384 is about 81968.2888927175. The cubic root of 6718800384 is about 1886.9652953413.

The spelling of 6718800384 in words is "six billion, seven hundred eighteen million, eight hundred thousand, three hundred eighty-four".