6842803968 has 1152 divisors, whose sum is σ = 29009756160. Its totient is φ = 1532805120.

The previous prime is 6842803967. The next prime is 6842803969. The reversal of 6842803968 is 8693082486.

It is an interprime number because it is at equal distance from previous prime (6842803967) and next prime (6842803969).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×6842803968² = 93647932288953090048, 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 (6842803967) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 159134955 + ... + 159134997.

It is an arithmetic number, because the mean of its divisors is an integer number (25182080).

Almost surely, 2^6842803968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6842803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14504878080).

6842803968 is an abundant number, since it is smaller than the sum of its proper divisors (22166952192).

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

6842803968 is a wasteful number, since it uses less digits than its factorization.

6842803968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 6842803968 is about 82721.2425438593. The cubic root of 6842803968 is about 1898.5033428857.

The spelling of 6842803968 in words is "six billion, eight hundred forty-two million, eight hundred three thousand, nine hundred sixty-eight".