724356864 has 288 divisors, whose sum is σ = 2672570880. Its totient is φ = 188006400.

The previous prime is 724356847. The next prime is 724356869. The reversal of 724356864 is 468653427.

724356864 is a `hidden beast` number, since 7 + 24 + 3 + 568 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724356869) 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 31 ways as a sum of consecutive naturals, for example, 531544 + ... + 532904.

It is an arithmetic number, because the mean of its divisors is an integer number (9279760).

Almost surely, 2^724356864 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 724356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336285440).

724356864 is an abundant number, since it is smaller than the sum of its proper divisors (1948214016).

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

724356864 is a wasteful number, since it uses less digits than its factorization.

724356864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1384 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 724356864 is about 26913.8786502429. The cubic root of 724356864 is about 898.0851733770.

The spelling of 724356864 in words is "seven hundred twenty-four million, three hundred fifty-six thousand, eight hundred sixty-four".