6824412100 has 81 divisors (see below), whose sum is σ = 16299336333. Its totient is φ = 2478300000.

The previous prime is 6824412083. The next prime is 6824412109. The reversal of 6824412100 is 12144286.

The square root of 6824412100 is 82610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2456788356 + 4367623744 = 49566^2 + 66088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6824412109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9086725 + ... + 9087475.

Almost surely, 2^6824412100 is an apocalyptic number.

6824412100 is the 82610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6824412100

6824412100 is an abundant number, since it is smaller than the sum of its proper divisors (9474924233).

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

6824412100 is a wasteful number, since it uses less digits than its factorization.

6824412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The cubic root of 6824412100 is about 1896.8009046850.

Adding to 6824412100 its reverse (12144286), we get a palindrome (6836556386).

The spelling of 6824412100 in words is "six billion, eight hundred twenty-four million, four hundred twelve thousand, one hundred".