6705254880 has 144 divisors (see below), whose sum is σ = 23414030640. Its totient is φ = 1746468864.

The previous prime is 6705254863. The next prime is 6705254921. The reversal of 6705254880 is 884525076.

6705254880 is a `hidden beast` number, since 6 + 7 + 0 + 525 + 48 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 7776 + ... + 116064.

It is an arithmetic number, because the mean of its divisors is an integer number (162597435).

Almost surely, 2^6705254880 is an apocalyptic number.

6705254880 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 6705254880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11707015320).

6705254880 is an abundant number, since it is smaller than the sum of its proper divisors (16708775760).

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

6705254880 is a wasteful number, since it uses less digits than its factorization.

6705254880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108353 (or 108342 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 6705254880 is about 81885.6207157276. The cubic root of 6705254880 is about 1885.6963638596.

The spelling of 6705254880 in words is "six billion, seven hundred five million, two hundred fifty-four thousand, eight hundred eighty".