6733440 has 192 divisors, whose sum is σ = 26732160. Its totient is φ = 1529856.

The previous prime is 6733439. The next prime is 6733453. The reversal of 6733440 is 443376.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 40237 + ... + 40403.

It is an arithmetic number, because the mean of its divisors is an integer number (139230).

Almost surely, 2^6733440 is an apocalyptic number.

6733440 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 6733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366080).

6733440 is an abundant number, since it is smaller than the sum of its proper divisors (19998720).

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

6733440 is a wasteful number, since it uses less digits than its factorization.

6733440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 6733440 is about 2594.8872807889. The cubic root of 6733440 is about 188.8334806084.

Subtracting from 6733440 its reverse (443376), we obtain a square (6290064 = 2508²).

The spelling of 6733440 in words is "six million, seven hundred thirty-three thousand, four hundred forty".