6888944160 has 768 divisors, whose sum is σ = 29123297280. Its totient is φ = 1488015360.

The previous prime is 6888944131. The next prime is 6888944173. The reversal of 6888944160 is 614498886.

6888944160 is a `hidden beast` number, since 68 + 8 + 89 + 441 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6888944097 and 6888944106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52587295 + ... + 52587425.

It is an arithmetic number, because the mean of its divisors is an integer number (37920960).

Almost surely, 2^6888944160 is an apocalyptic number.

6888944160 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 6888944160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561648640).

6888944160 is an abundant number, since it is smaller than the sum of its proper divisors (22234353120).

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

6888944160 is a wasteful number, since it uses less digits than its factorization.

6888944160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 6888944160 is about 82999.6636137762. The cubic root of 6888944160 is about 1902.7609131946.

The spelling of 6888944160 in words is "six billion, eight hundred eighty-eight million, nine hundred forty-four thousand, one hundred sixty".