6778208005920 has 720 divisors, whose sum is σ = 25932670466472. Its totient is φ = 1666577203200.

The previous prime is 6778208005901. The next prime is 6778208005937. The reversal of 6778208005920 is 295008028776.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 986311169424 + 5791896836496 = 993132^2 + 2406636^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3506573274 + ... + 3506575206.

Almost surely, 2^{6778208005920} is an apocalyptic number.

6778208005920 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 6778208005920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12966335233236).

6778208005920 is an abundant number, since it is smaller than the sum of its proper divisors (19154462460552).

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

6778208005920 is a wasteful number, since it uses less digits than its factorization.

6778208005920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 6778208005920 in words is "six trillion, seven hundred seventy-eight billion, two hundred eight million, five thousand, nine hundred twenty".