6802627104 has 384 divisors, whose sum is σ = 25216450560. Its totient is φ = 1735603200.

The previous prime is 6802627103. The next prime is 6802627127. The reversal of 6802627104 is 4017262086.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6802627103) 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 63 ways as a sum of consecutive naturals, for example, 2435949 + ... + 2438739.

It is an arithmetic number, because the mean of its divisors is an integer number (65667840).

Almost surely, 2^6802627104 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 6802627104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12608225280).

6802627104 is an abundant number, since it is smaller than the sum of its proper divisors (18413823456).

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

6802627104 is a wasteful number, since it uses less digits than its factorization.

6802627104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6802627104 is about 82478.0401319042. The cubic root of 6802627104 is about 1894.7804206234.

The spelling of 6802627104 in words is "six billion, eight hundred two million, six hundred twenty-seven thousand, one hundred four".