736364520 has 320 divisors, whose sum is σ = 2716837200. Its totient is φ = 178053120.

The previous prime is 736364507. The next prime is 736364521. The reversal of 736364520 is 25463637.

736364520 is a `hidden beast` number, since 7 + 3 + 6 + 3 + 645 + 2 + 0 = 666.

736364520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 366109956 + 370254564 = 19134^2 + 19242^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (736364521) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1597090 + ... + 1597550.

Almost surely, 2^736364520 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 736364520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358418600).

736364520 is an abundant number, since it is smaller than the sum of its proper divisors (1980472680).

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

736364520 is a wasteful number, since it uses less digits than its factorization.

736364520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 736364520 is about 27136.0372936064. The cubic root of 736364520 is about 903.0205180711.

The spelling of 736364520 in words is "seven hundred thirty-six million, three hundred sixty-four thousand, five hundred twenty".