6821623814400 has 324 divisors, whose sum is σ = 25048010530452. Its totient is φ = 1769934274560.

The previous prime is 6821623814389. The next prime is 6821623814413. The reversal of 6821623814400 is 44183261286.

6821623814400 is a `hidden beast` number, since 6 + 8 + 2 + 1 + 6 + 238 + 1 + 4 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 43557359616 + 6778066454784 = 208704^2 + 2603472^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 530782 + ... + 3731618.

Almost surely, 2^{6821623814400} is an apocalyptic number.

6821623814400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6821623814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12524005265226).

6821623814400 is an abundant number, since it is smaller than the sum of its proper divisors (18226386716052).

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

6821623814400 is a wasteful number, since it uses less digits than its factorization.

6821623814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200906 (or 3200884 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 6821623814400 in words is "six trillion, eight hundred twenty-one billion, six hundred twenty-three million, eight hundred fourteen thousand, four hundred".