6726948606 has 96 divisors (see below), whose sum is σ = 17184281088. Its totient is φ = 1862118720.

The previous prime is 6726948587. The next prime is 6726948607. The reversal of 6726948606 is 6068496276.

6726948606 is a `hidden beast` number, since 6 + 7 + 26 + 9 + 4 + 8 + 606 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6726948607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508431 + ... + 521493.

It is an arithmetic number, because the mean of its divisors is an integer number (179002928).

Almost surely, 2^6726948606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6726948606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8592140544).

6726948606 is an abundant number, since it is smaller than the sum of its proper divisors (10457332482).

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

6726948606 is a wasteful number, since it uses less digits than its factorization.

6726948606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13206 (or 13203 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 6726948606 is about 82017.9773342406. The cubic root of 6726948606 is about 1887.7277926092.

The spelling of 6726948606 in words is "six billion, seven hundred twenty-six million, nine hundred forty-eight thousand, six hundred six".