720047285136 has 225 divisors, whose sum is σ = 2114433264801. Its totient is φ = 237541372416.

The previous prime is 720047285131. The next prime is 720047285159. The reversal of 720047285136 is 631582740027.

The square root of 720047285136 is 848556.

It is a perfect power (a square), and thus also a powerful number.

720047285136 is a `hidden beast` number, since 72 + 0 + 0 + 47 + 28 + 513 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 323328704400 + 396718580736 = 568620^2 + 629856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 720047285091 and 720047285100.

It is not an unprimeable number, because it can be changed into a prime (720047285131) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7423167840 + ... + 7423167936.

Almost surely, 2^720047285136 is an apocalyptic number.

720047285136 is the 848556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720047285136

720047285136 is an abundant number, since it is smaller than the sum of its proper divisors (1394385979665).

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

720047285136 is an frugal number, since it uses more digits than its factorization.

720047285136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 720047285136 in words is "seven hundred twenty billion, forty-seven million, two hundred eighty-five thousand, one hundred thirty-six".