736603648 has 80 divisors (see below), whose sum is σ = 1657751040. Its totient is φ = 323942400.

The previous prime is 736603639. The next prime is 736603649. The reversal of 736603648 is 846306637.

736603648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736603649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172483 + ... + 176701.

It is an arithmetic number, because the mean of its divisors is an integer number (20721888).

Almost surely, 2^736603648 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 736603648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828875520).

736603648 is an abundant number, since it is smaller than the sum of its proper divisors (921147392).

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

736603648 is a wasteful number, since it uses less digits than its factorization.

736603648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The square root of 736603648 is about 27140.4430324930. The cubic root of 736603648 is about 903.1182568559.

The spelling of 736603648 in words is "seven hundred thirty-six million, six hundred three thousand, six hundred forty-eight".