736628256 has 336 divisors, whose sum is σ = 2683848384. Its totient is φ = 193715712.

The previous prime is 736628251. The next prime is 736628273. The reversal of 736628256 is 652826637.

It is a happy number.

736628256 is a `hidden beast` number, since 7 + 366 + 282 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (736628251) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2122675 + ... + 2123021.

It is an arithmetic number, because the mean of its divisors is an integer number (7987644).

Almost surely, 2^736628256 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 736628256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341924192).

736628256 is an abundant number, since it is smaller than the sum of its proper divisors (1947220128).

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

736628256 is a wasteful number, since it uses less digits than its factorization.

736628256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 372 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 736628256 is about 27140.8963742910. The cubic root of 736628256 is about 903.1283136830.

It can be divided in two parts, 73662 and 8256, that added together give a palindrome (81918).

The spelling of 736628256 in words is "seven hundred thirty-six million, six hundred twenty-eight thousand, two hundred fifty-six".