6621821424100 has 81 divisors (see below), whose sum is σ = 15265337940433. Its totient is φ = 2492756316160.

The previous prime is 6621821424077. The next prime is 6621821424157. The reversal of 6621821424100 is 14241281266.

The square root of 6621821424100 is 2573290.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1668917761956 + 4952903662144 = 1291866^2 + 2225512^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6621821424100.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 437451732 + ... + 437466868.

Almost surely, 2^{6621821424100} is an apocalyptic number.

6621821424100 is the 2573290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6621821424100

6621821424100 is an abundant number, since it is smaller than the sum of its proper divisors (8643516516333).

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

6621821424100 is an equidigital number, since it uses as much as digits as its factorization.

6621821424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30322 (or 15161 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 6621821424100 in words is "six trillion, six hundred twenty-one billion, eight hundred twenty-one million, four hundred twenty-four thousand, one hundred".