6679070496 has 144 divisors (see below), whose sum is σ = 21735290304. Its totient is φ = 1905818112.

The previous prime is 6679070479. The next prime is 6679070537. The reversal of 6679070496 is 6940709766.

6679070496 is a `hidden beast` number, since 6 + 67 + 90 + 7 + 0 + 496 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2008291 + ... + 2011613.

It is an arithmetic number, because the mean of its divisors is an integer number (150939516).

Almost surely, 2^6679070496 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 6679070496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10867645152).

6679070496 is an abundant number, since it is smaller than the sum of its proper divisors (15056219808).

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

6679070496 is a wasteful number, since it uses less digits than its factorization.

6679070496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 6679070496 is about 81725.5804262044. The cubic root of 6679070496 is about 1883.2385796239.

The spelling of 6679070496 in words is "six billion, six hundred seventy-nine million, seventy thousand, four hundred ninety-six".