6881644800 has 324 divisors, whose sum is σ = 25276216420. Its totient is φ = 1784954880.

The previous prime is 6881644787. The next prime is 6881644817. The reversal of 6881644800 is 84461886.

6881644800 is a `hidden beast` number, since 6 + 8 + 8 + 164 + 480 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1937664 + 6879707136 = 1392^2 + 82944^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2129586 + ... + 2132814.

Almost surely, 2^6881644800 is an apocalyptic number.

6881644800 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 6881644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12638108210).

6881644800 is an abundant number, since it is smaller than the sum of its proper divisors (18394571620).

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

6881644800 is a wasteful number, since it uses less digits than its factorization.

6881644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 6881644800 is about 82955.6797332166. The cubic root of 6881644800 is about 1902.0886357537.

The spelling of 6881644800 in words is "six billion, eight hundred eighty-one million, six hundred forty-four thousand, eight hundred".