724993856640 has 640 divisors, whose sum is σ = 2703993969600. Its totient is φ = 184879521792.

The previous prime is 724993856623. The next prime is 724993856641. The reversal of 724993856640 is 46658399427.

724993856640 is a `hidden beast` number, since 7 + 2 + 499 + 3 + 85 + 6 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (724993856641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 160857267 + ... + 160861773.

Almost surely, 2^724993856640 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 724993856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351996984800).

724993856640 is an abundant number, since it is smaller than the sum of its proper divisors (1979000112960).

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

724993856640 is a wasteful number, since it uses less digits than its factorization.

724993856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4674 (or 4653 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 724993856640 in words is "seven hundred twenty-four billion, nine hundred ninety-three million, eight hundred fifty-six thousand, six hundred forty".