6727840440 has 128 divisors (see below), whose sum is σ = 21461760000. Its totient is φ = 1681369088.

The previous prime is 6727840433. The next prime is 6727840451. The reversal of 6727840440 is 440487276.

It is a junction number, because it is equal to n+sod(n) for n = 6727840392 and 6727840401.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 480661 + ... + 494459.

It is an arithmetic number, because the mean of its divisors is an integer number (167670000).

Almost surely, 2^6727840440 is an apocalyptic number.

6727840440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6727840440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10730880000).

6727840440 is an abundant number, since it is smaller than the sum of its proper divisors (14733919560).

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

6727840440 is a wasteful number, since it uses less digits than its factorization.

6727840440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14069 (or 14065 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 6727840440 is about 82023.4139743037. The cubic root of 6727840440 is about 1887.8112115823.

The spelling of 6727840440 in words is "six billion, seven hundred twenty-seven million, eight hundred forty thousand, four hundred forty".