6918400000 has 288 divisors, whose sum is σ = 18426320640. Its totient is φ = 2590720000.

The previous prime is 6918399937. The next prime is 6918400009. The reversal of 6918400000 is 48196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6918400009) 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 23 ways as a sum of consecutive naturals, for example, 147199977 + ... + 147200023.

It is an arithmetic number, because the mean of its divisors is an integer number (63980280).

Almost surely, 2^6918400000 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 6918400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9213160320).

6918400000 is an abundant number, since it is smaller than the sum of its proper divisors (11507920640).

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

6918400000 is an frugal number, since it uses more digits than its factorization.

6918400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 6918400000 is about 83176.9198756482. The cubic root of 6918400000 is about 1905.4690073119.

Adding to 6918400000 its reverse (48196), we get a palindrome (6918448196).

The spelling of 6918400000 in words is "six billion, nine hundred eighteen million, four hundred thousand".