6803317440 has 448 divisors, whose sum is σ = 24886310400. Its totient is φ = 1748717568.

The previous prime is 6803317429. The next prime is 6803317447. The reversal of 6803317440 is 447133086.

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

It is a junction number, because it is equal to n+sod(n) for n = 6803317395 and 6803317404.

It is not an unprimeable number, because it can be changed into a prime (6803317447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38007271 + ... + 38007449.

It is an arithmetic number, because the mean of its divisors is an integer number (55549800).

Almost surely, 2^6803317440 is an apocalyptic number.

6803317440 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 6803317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12443155200).

6803317440 is an abundant number, since it is smaller than the sum of its proper divisors (18082992960).

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

6803317440 is a wasteful number, since it uses less digits than its factorization.

6803317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6803317440 is about 82482.2249942374. The cubic root of 6803317440 is about 1894.8445130626.

The spelling of 6803317440 in words is "six billion, eight hundred three million, three hundred seventeen thousand, four hundred forty".