6802735968 has 192 divisors, whose sum is σ = 22724997120. Its totient is φ = 1939424256.

The previous prime is 6802735937. The next prime is 6802735981. The reversal of 6802735968 is 8695372086.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3730705 + ... + 3732527.

It is an arithmetic number, because the mean of its divisors is an integer number (118359360).

Almost surely, 2^6802735968 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 6802735968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11362498560).

6802735968 is an abundant number, since it is smaller than the sum of its proper divisors (15922261152).

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

6802735968 is a wasteful number, since it uses less digits than its factorization.

6802735968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 6802735968 is about 82478.7000867497. The cubic root of 6802735968 is about 1894.7905281046.

The spelling of 6802735968 in words is "six billion, eight hundred two million, seven hundred thirty-five thousand, nine hundred sixty-eight".