724715640 has 256 divisors, whose sum is σ = 2687385600. Its totient is φ = 172224000.

The previous prime is 724715639. The next prime is 724715659. The reversal of 724715640 is 46517427.

724715640 is a `hidden beast` number, since 7 + 2 + 4 + 7 + 1 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 724715595 and 724715604.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 629065 + ... + 630215.

It is an arithmetic number, because the mean of its divisors is an integer number (10497600).

Almost surely, 2^724715640 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 724715640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343692800).

724715640 is an abundant number, since it is smaller than the sum of its proper divisors (1962669960).

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

724715640 is a wasteful number, since it uses less digits than its factorization.

724715640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 724715640 is about 26920.5430851608. The cubic root of 724715640 is about 898.2334236108.

The spelling of 724715640 in words is "seven hundred twenty-four million, seven hundred fifteen thousand, six hundred forty".