6814400000 has 120 divisors (see below), whose sum is σ = 17022269880. Its totient is φ = 2725120000.

The previous prime is 6814399997. The next prime is 6814400029. The reversal of 6814400000 is 44186.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1597871 + ... + 1602129.

It is an arithmetic number, because the mean of its divisors is an integer number (141852249).

Almost surely, 2^6814400000 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 6814400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8511134940).

6814400000 is an abundant number, since it is smaller than the sum of its proper divisors (10207869880).

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

6814400000 is an frugal number, since it uses more digits than its factorization.

6814400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 6814400000 is about 82549.3791618084. The cubic root of 6814400000 is about 1895.8728513546.

Adding to 6814400000 its reverse (44186), we get a palindrome (6814444186).

The spelling of 6814400000 in words is "six billion, eight hundred fourteen million, four hundred thousand".