6727717672 has 64 divisors (see below), whose sum is σ = 14217840000. Its totient is φ = 2961218304.

The previous prime is 6727717651. The next prime is 6727717673. The reversal of 6727717672 is 2767177276.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (6727717673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 830779 + ... + 838837.

It is an arithmetic number, because the mean of its divisors is an integer number (222153750).

Almost surely, 2^6727717672 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 6727717672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108920000).

6727717672 is an abundant number, since it is smaller than the sum of its proper divisors (7490122328).

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

6727717672 is a wasteful number, since it uses less digits than its factorization.

6727717672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8450 (or 8446 counting only the distinct ones).

The product of its digits is 2420208, while the sum is 52.

The square root of 6727717672 is about 82022.6655992111. The cubic root of 6727717672 is about 1887.7997287388.

The spelling of 6727717672 in words is "six billion, seven hundred twenty-seven million, seven hundred seventeen thousand, six hundred seventy-two".