720409536 has 336 divisors, whose sum is σ = 2650053120. Its totient is φ = 181647360.

The previous prime is 720409531. The next prime is 720409537. The reversal of 720409536 is 635904027.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 720409536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720409531) 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 47 ways as a sum of consecutive naturals, for example, 1640805 + ... + 1641243.

Almost surely, 2^720409536 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 720409536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325026560).

720409536 is an abundant number, since it is smaller than the sum of its proper divisors (1929643584).

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

720409536 is a wasteful number, since it uses less digits than its factorization.

720409536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 720409536 is about 26840.4458979355. The cubic root of 720409536 is about 896.4508519699.

The spelling of 720409536 in words is "seven hundred twenty million, four hundred nine thousand, five hundred thirty-six".