6889881600 has 720 divisors, whose sum is σ = 29254377600. Its totient is φ = 1557135360.

The previous prime is 6889881599. The next prime is 6889881611. The reversal of 6889881600 is 61889886.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77414356 + ... + 77414444.

It is an arithmetic number, because the mean of its divisors is an integer number (40631080).

Almost surely, 2^6889881600 is an apocalyptic number.

6889881600 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 6889881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14627188800).

6889881600 is an abundant number, since it is smaller than the sum of its proper divisors (22364496000).

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

6889881600 is an equidigital number, since it uses as much as digits as its factorization.

6889881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 6889881600 is about 83005.3106734744. The cubic root of 6889881600 is about 1902.8472178225.

The spelling of 6889881600 in words is "six billion, eight hundred eighty-nine million, eight hundred eighty-one thousand, six hundred".