6873043968 has 352 divisors, whose sum is σ = 24642604800. Its totient is φ = 1847328768.

The previous prime is 6873043963. The next prime is 6873043981. The reversal of 6873043968 is 8693403786.

It is a super-2 number, since 2×6873043968² = 94477466772122370048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6873043963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3289068 + ... + 3291156.

It is an arithmetic number, because the mean of its divisors is an integer number (70007400).

Almost surely, 2^6873043968 is an apocalyptic number.

6873043968 is a gapful number since it is divisible by the number (68) 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 6873043968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12321302400).

6873043968 is an abundant number, since it is smaller than the sum of its proper divisors (17769560832).

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

6873043968 is a wasteful number, since it uses less digits than its factorization.

6873043968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 6873043968 is about 82903.8236030160. The cubic root of 6873043968 is about 1901.2958812343.

The spelling of 6873043968 in words is "six billion, eight hundred seventy-three million, forty-three thousand, nine hundred sixty-eight".