6803915440 has 160 divisors (see below), whose sum is σ = 19216448640. Its totient is φ = 2194661376.

The previous prime is 6803915411. The next prime is 6803915441. The reversal of 6803915440 is 445193086.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 6803915393 and 6803915402.

It is not an unprimeable number, because it can be changed into a prime (6803915441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2750044 + ... + 2752516.

It is an arithmetic number, because the mean of its divisors is an integer number (120102804).

Almost surely, 2^6803915440 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 6803915440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9608224320).

6803915440 is an abundant number, since it is smaller than the sum of its proper divisors (12412533200).

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

6803915440 is a wasteful number, since it uses less digits than its factorization.

6803915440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 6803915440 is about 82485.8499380348. The cubic root of 6803915440 is about 1894.9000293031.

The spelling of 6803915440 in words is "six billion, eight hundred three million, nine hundred fifteen thousand, four hundred forty".