6819408100 has 36 divisors (see below), whose sum is σ = 14824246500. Its totient is φ = 2722946560.

The previous prime is 6819408097. The next prime is 6819408109. The reversal of 6819408100 is 18049186.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1100116224 + 5719291876 = 33168^2 + 75626^2 .

It is a super-2 number, since 2×6819408100² = 93008653668691220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6819408100.

It is not an unprimeable number, because it can be changed into a prime (6819408109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3025 + ... + 116824.

It is an arithmetic number, because the mean of its divisors is an integer number (411784625).

Almost surely, 2^6819408100 is an apocalyptic number.

It is an amenable number.

6819408100 is an abundant number, since it is smaller than the sum of its proper divisors (8004838400).

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

6819408100 is a wasteful number, since it uses less digits than its factorization.

6819408100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120432 (or 120425 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 6819408100 is about 82579.7075557912. The cubic root of 6819408100 is about 1896.3371815864.

The spelling of 6819408100 in words is "six billion, eight hundred nineteen million, four hundred eight thousand, one hundred".