6803833872 has 360 divisors, whose sum is σ = 21224016576. Its totient is φ = 1872499200.

The previous prime is 6803833867. The next prime is 6803833879. The reversal of 6803833872 is 2783383086.

It is a super-3 number, since 3×6803833872³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6803833879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128374198 + ... + 128374250.

Almost surely, 2^6803833872 is an apocalyptic number.

6803833872 is a gapful number since it is divisible by the number (62) 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 6803833872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10612008288).

6803833872 is an abundant number, since it is smaller than the sum of its proper divisors (14420182704).

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

6803833872 is a wasteful number, since it uses less digits than its factorization.

6803833872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 6803833872 is about 82485.3555002341. The cubic root of 6803833872 is about 1894.8924570052.

The spelling of 6803833872 in words is "six billion, eight hundred three million, eight hundred thirty-three thousand, eight hundred seventy-two".