736456960 has 72 divisors (see below), whose sum is σ = 1786619520. Its totient is φ = 290813952.

The previous prime is 736456937. The next prime is 736456961. The reversal of 736456960 is 69654637.

It is a self number, because there is not a number n which added to its sum of digits gives 736456960.

It is not an unprimeable number, because it can be changed into a prime (736456961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 97479 + ... + 104761.

It is an arithmetic number, because the mean of its divisors is an integer number (24814160).

Almost surely, 2^736456960 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 736456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893309760).

736456960 is an abundant number, since it is smaller than the sum of its proper divisors (1050162560).

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

736456960 is an equidigital number, since it uses as much as digits as its factorization.

736456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7383 (or 7369 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The square root of 736456960 is about 27137.7405102193. The cubic root of 736456960 is about 903.0583035798.

The spelling of 736456960 in words is "seven hundred thirty-six million, four hundred fifty-six thousand, nine hundred sixty".