6883438320 has 300 divisors, whose sum is σ = 26281156440. Its totient is φ = 1668522240.

The previous prime is 6883438291. The next prime is 6883438337. The reversal of 6883438320 is 238343886.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 779691 + ... + 788469.

Almost surely, 2^6883438320 is an apocalyptic number.

6883438320 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 6883438320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13140578220).

6883438320 is an abundant number, since it is smaller than the sum of its proper divisors (19397718120).

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

6883438320 is a wasteful number, since it uses less digits than its factorization.

6883438320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8826 (or 8800 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 6883438320 is about 82966.4891386878. The cubic root of 6883438320 is about 1902.2538645512.

The spelling of 6883438320 in words is "six billion, eight hundred eighty-three million, four hundred thirty-eight thousand, three hundred twenty".