724328640 has 672 divisors, whose sum is σ = 3144560640. Its totient is φ = 149299200.

The previous prime is 724328629. The next prime is 724328677. The reversal of 724328640 is 46823427.

724328640 is a `hidden beast` number, since 7 + 2 + 4 + 3 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 724328595 and 724328604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11874210 + ... + 11874270.

Almost surely, 2^724328640 is an apocalyptic number.

724328640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 724328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572280320).

724328640 is an abundant number, since it is smaller than the sum of its proper divisors (2420232000).

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

724328640 is a wasteful number, since it uses less digits than its factorization.

724328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 724328640 is about 26913.3543059946. The cubic root of 724328640 is about 898.0735088295.

The spelling of 724328640 in words is "seven hundred twenty-four million, three hundred twenty-eight thousand, six hundred forty".