6705125280 has 288 divisors, whose sum is σ = 26708258304. Its totient is φ = 1499885568.

The previous prime is 6705125257. The next prime is 6705125333. The reversal of 6705125280 is 825215076.

It is a happy number.

6705125280 is a `hidden beast` number, since 67 + 0 + 512 + 5 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466684 + ... + 480836.

It is an arithmetic number, because the mean of its divisors is an integer number (92737008).

Almost surely, 2^6705125280 is an apocalyptic number.

6705125280 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 6705125280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13354129152).

6705125280 is an abundant number, since it is smaller than the sum of its proper divisors (20003133024).

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

6705125280 is a wasteful number, since it uses less digits than its factorization.

6705125280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14228 (or 14217 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 6705125280 is about 81884.8293641747. The cubic root of 6705125280 is about 1885.6842147900.

The spelling of 6705125280 in words is "six billion, seven hundred five million, one hundred twenty-five thousand, two hundred eighty".