6828646996224 has 567 divisors, whose sum is σ = 21445299884827. Its totient is φ = 2168971250688.

The previous prime is 6828646996219. The next prime is 6828646996231. The reversal of 6828646996224 is 4226996468286.

It is a happy number.

The square root of 6828646996224 is 2613168.

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

6828646996224 is a `hidden beast` number, since 6 + 8 + 2 + 86 + 469 + 9 + 62 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

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 62 ways as a sum of consecutive naturals, for example, 25964437117 + ... + 25964437379.

Almost surely, 2^{6828646996224} is an apocalyptic number.

6828646996224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6828646996224 is the 2613168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6828646996224

6828646996224 is an abundant number, since it is smaller than the sum of its proper divisors (14616652888603).

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

6828646996224 is an frugal number, since it uses more digits than its factorization.

6828646996224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 291 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 72.

The spelling of 6828646996224 in words is "six trillion, eight hundred twenty-eight billion, six hundred forty-six million, nine hundred ninety-six thousand, two hundred twenty-four".