6944116800 has 168 divisors, whose sum is σ = 22847198400. Its totient is φ = 1846507520.

The previous prime is 6944116771. The next prime is 6944116819. The reversal of 6944116800 is 86114496.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1865341 + ... + 1869059.

Almost surely, 2^6944116800 is an apocalyptic number.

6944116800 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 6944116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11423599200).

6944116800 is an abundant number, since it is smaller than the sum of its proper divisors (15903081600).

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

6944116800 is a wasteful number, since it uses less digits than its factorization.

6944116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 6944116800 is about 83331.3674434783. The cubic root of 6944116800 is about 1907.8270657094.

The spelling of 6944116800 in words is "six billion, nine hundred forty-four million, one hundred sixteen thousand, eight hundred".