737968128 has 64 divisors (see below), whose sum is σ = 1968147120. Its totient is φ = 245956608.

The previous prime is 737968123. The next prime is 737968129. The reversal of 737968128 is 821869737.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (737968123) 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 3 ways as a sum of consecutive naturals, for example, 94551 + ... + 102057.

Almost surely, 2^737968128 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 737968128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984073560).

737968128 is an abundant number, since it is smaller than the sum of its proper divisors (1230178992).

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

737968128 is an frugal number, since it uses more digits than its factorization.

737968128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7540 (or 7512 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 51.

The square root of 737968128 is about 27165.5687958121. The cubic root of 737968128 is about 903.6755564254.

The spelling of 737968128 in words is "seven hundred thirty-seven million, nine hundred sixty-eight thousand, one hundred twenty-eight".