6803301120 has 864 divisors, whose sum is σ = 29192244480. Its totient is φ = 1331527680.

The previous prime is 6803301107. The next prime is 6803301121. The reversal of 6803301120 is 211033086.

It is a super-2 number, since 2×6803301120² = 92569812258786508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6803301121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39325354 + ... + 39325526.

It is an arithmetic number, because the mean of its divisors is an integer number (33787320).

Almost surely, 2^6803301120 is an apocalyptic number.

6803301120 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 6803301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14596122240).

6803301120 is an abundant number, since it is smaller than the sum of its proper divisors (22388943360).

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

6803301120 is a wasteful number, since it uses less digits than its factorization.

6803301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 6803301120 is about 82482.1260637721. The cubic root of 6803301120 is about 1894.8429979250.

The spelling of 6803301120 in words is "six billion, eight hundred three million, three hundred one thousand, one hundred twenty".