6738449120 has 288 divisors, whose sum is σ = 18557447328. Its totient is φ = 2302869504.

The previous prime is 6738449111. The next prime is 6738449147. The reversal of 6738449120 is 219448376.

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 47 ways as a sum of consecutive naturals, for example, 49185692 + ... + 49185828.

It is an arithmetic number, because the mean of its divisors is an integer number (64435581).

Almost surely, 2^6738449120 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 6738449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9278723664).

6738449120 is an abundant number, since it is smaller than the sum of its proper divisors (11818998208).

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

6738449120 is a wasteful number, since it uses less digits than its factorization.

6738449120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 6738449120 is about 82088.0571094237. The cubic root of 6738449120 is about 1888.8029447606.

The spelling of 6738449120 in words is "six billion, seven hundred thirty-eight million, four hundred forty-nine thousand, one hundred twenty".