6578404225600 has 189 divisors, whose sum is σ = 16645901200257. Its totient is φ = 2558766458880.

The previous prime is 6578404225573. The next prime is 6578404225619. The reversal of 6578404225600 is 65224048756.

The square root of 6578404225600 is 2564840.

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 1670442511936 + 4907961713664 = 1292456^2 + 2215392^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3795962334 + ... + 3795964066.

Almost surely, 2^{6578404225600} is an apocalyptic number.

6578404225600 is the 2564840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6578404225600

6578404225600 is an abundant number, since it is smaller than the sum of its proper divisors (10067496974657).

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

6578404225600 is an frugal number, since it uses more digits than its factorization.

6578404225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 49.

Multiplying 6578404225600 by its sum of digits (49), we get a square (322341807054400 = 17953880²).

The spelling of 6578404225600 in words is "six trillion, five hundred seventy-eight billion, four hundred four million, two hundred twenty-five thousand, six hundred".