6803375040 has 504 divisors, whose sum is σ = 29406555360. Its totient is φ = 1413181440.

The previous prime is 6803375023. The next prime is 6803375053. The reversal of 6803375040 is 405733086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

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 = 6803374986 and 6803375004.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2437966 + ... + 2440754.

It is an arithmetic number, because the mean of its divisors is an integer number (58346340).

Almost surely, 2^6803375040 is an apocalyptic number.

6803375040 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 6803375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14703277680).

6803375040 is an abundant number, since it is smaller than the sum of its proper divisors (22603180320).

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

6803375040 is a wasteful number, since it uses less digits than its factorization.

6803375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6803375040 is about 82482.5741596369. The cubic root of 6803375040 is about 1894.8498605879.

The spelling of 6803375040 in words is "six billion, eight hundred three million, three hundred seventy-five thousand, forty".