6727644 has 96 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 1745280.

The previous prime is 6727621. The next prime is 6727657. The reversal of 6727644 is 4467276.

6727644 is a `hidden beast` number, since 6 + 7 + 2 + 7 + 644 = 666.

6727644 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6727644² = 90522387581472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6727599 and 6727608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7912 + ... + 8720.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 2^6727644 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 6727644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

6727644 is an abundant number, since it is smaller than the sum of its proper divisors (15045156).

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

6727644 is a wasteful number, since it uses less digits than its factorization.

6727644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 832 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 6727644 is about 2593.7702288368. The cubic root of 6727644 is about 188.7792837918.

The spelling of 6727644 in words is "six million, seven hundred twenty-seven thousand, six hundred forty-four".