6978448800 has 216 divisors, whose sum is σ = 25012735020. Its totient is φ = 1830297600.

The previous prime is 6978448777. The next prime is 6978448817. The reversal of 6978448800 is 88448796.

It can be written as a sum of positive squares in 6 ways, for example, as 255104784 + 6723344016 = 15972^2 + 81996^2 .

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 35 ways as a sum of consecutive naturals, for example, 431256 + ... + 447144.

Almost surely, 2^6978448800 is an apocalyptic number.

6978448800 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 6978448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12506367510).

6978448800 is an abundant number, since it is smaller than the sum of its proper divisors (18034286220).

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

6978448800 is a wasteful number, since it uses less digits than its factorization.

6978448800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15976 (or 15960 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 6978448800 is about 83537.1103163139. The cubic root of 6978448800 is about 1910.9660235788.

The spelling of 6978448800 in words is "six billion, nine hundred seventy-eight million, four hundred forty-eight thousand, eight hundred".