6814399104 has 160 divisors (see below), whose sum is σ = 20663840340. Its totient is φ = 2228428800.

The previous prime is 6814399103. The next prime is 6814399133. The reversal of 6814399104 is 4019934186.

It can be written as a sum of positive squares in 2 ways, for example, as 6796353600 + 18045504 = 82440^2 + 4248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6814399104.

It is not an unprimeable number, because it can be changed into a prime (6814399103) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 543304 + ... + 555704.

Almost surely, 2^6814399104 is an apocalyptic number.

6814399104 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 6814399104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10331920170).

6814399104 is an abundant number, since it is smaller than the sum of its proper divisors (13849441236).

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

6814399104 is a wasteful number, since it uses less digits than its factorization.

6814399104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12480 (or 12459 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 6814399104 is about 82549.3737347534. The cubic root of 6814399104 is about 1895.8727682609.

The spelling of 6814399104 in words is "six billion, eight hundred fourteen million, three hundred ninety-nine thousand, one hundred four".