736464512 has 96 divisors (see below), whose sum is σ = 1766002500. Its totient is φ = 304668672.

The previous prime is 736464511. The next prime is 736464517. The reversal of 736464512 is 215464637.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 725548096 + 10916416 = 26936^2 + 3304^2 .

It is not an unprimeable number, because it can be changed into a prime (736464511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179864 + ... + 183912.

Almost surely, 2^736464512 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 736464512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883001250).

736464512 is an abundant number, since it is smaller than the sum of its proper divisors (1029537988).

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

736464512 is a wasteful number, since it uses less digits than its factorization.

736464512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106 (or 4087 counting only the distinct ones).

The product of its digits is 120960, while the sum is 38.

The square root of 736464512 is about 27137.8796518814. The cubic root of 736464512 is about 903.0613903739.

The spelling of 736464512 in words is "seven hundred thirty-six million, four hundred sixty-four thousand, five hundred twelve".