6803863920 has 240 divisors, whose sum is σ = 27081600000. Its totient is φ = 1555137792.

The previous prime is 6803863909. The next prime is 6803863921. The reversal of 6803863920 is 293683086.

6803863920 is a `hidden beast` number, since 6 + 8 + 0 + 3 + 8 + 639 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6803863921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111081 + ... + 161079.

It is an arithmetic number, because the mean of its divisors is an integer number (112840000).

Almost surely, 2^6803863920 is an apocalyptic number.

6803863920 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 6803863920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540800000).

6803863920 is an abundant number, since it is smaller than the sum of its proper divisors (20277736080).

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

6803863920 is a wasteful number, since it uses less digits than its factorization.

6803863920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50034 (or 50016 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6803863920 is about 82485.5376414557. The cubic root of 6803863920 is about 1894.8952464935.

The spelling of 6803863920 in words is "six billion, eight hundred three million, eight hundred sixty-three thousand, nine hundred twenty".