6706080576 has 336 divisors, whose sum is σ = 22133966400. Its totient is φ = 1922973696.

The previous prime is 6706080551. The next prime is 6706080587. The reversal of 6706080576 is 6750806076.

6706080576 is a `hidden beast` number, since 6 + 70 + 6 + 0 + 8 + 0 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17693955 + ... + 17694333.

It is an arithmetic number, because the mean of its divisors is an integer number (65874900).

Almost surely, 2^6706080576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6706080576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11066983200).

6706080576 is an abundant number, since it is smaller than the sum of its proper divisors (15427885824).

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

6706080576 is a wasteful number, since it uses less digits than its factorization.

6706080576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 6706080576 is about 81890.6623248341. The cubic root of 6706080576 is about 1885.7737632558.

The spelling of 6706080576 in words is "six billion, seven hundred six million, eighty thousand, five hundred seventy-six".