6803020224 has 1344 divisors, whose sum is σ = 29822607360. Its totient is φ = 1478062080.

The previous prime is 6803020199. The next prime is 6803020229. The reversal of 6803020224 is 4220203086.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6803020229) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 295783477 + ... + 295783499.

It is an arithmetic number, because the mean of its divisors is an integer number (22189440).

Almost surely, 2^6803020224 is an apocalyptic number.

6803020224 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 6803020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14911303680).

6803020224 is an abundant number, since it is smaller than the sum of its proper divisors (23019587136).

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

6803020224 is a wasteful number, since it uses less digits than its factorization.

6803020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6803020224 is about 82480.4232772844. The cubic root of 6803020224 is about 1894.8169193525.

The spelling of 6803020224 in words is "six billion, eight hundred three million, twenty thousand, two hundred twenty-four".