6688430440000 has 315 divisors, whose sum is σ = 16924054738437. Its totient is φ = 2621786112000.

The previous prime is 6688430439967. The next prime is 6688430440031. The reversal of 6688430440000 is 440348866.

The square root of 6688430440000 is 2586200.

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

It can be written as a sum of positive squares in 7 ways, for example, as 6338269478464 + 350160961536 = 2517592^2 + 591744^2 .

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 44 ways as a sum of consecutive naturals, for example, 34655079904 + ... + 34655080096.

Almost surely, 2^{6688430440000} is an apocalyptic number.

6688430440000 is the 2586200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6688430440000

6688430440000 is an abundant number, since it is smaller than the sum of its proper divisors (10235624298437).

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

6688430440000 is an frugal number, since it uses more digits than its factorization.

6688430440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

Adding to 6688430440000 its reverse (440348866), we get a palindrome (6688870788866).

The spelling of 6688430440000 in words is "six trillion, six hundred eighty-eight billion, four hundred thirty million, four hundred forty thousand".