725716569600 has 720 divisors, whose sum is σ = 2857261636944. Its totient is φ = 175894118400.

The previous prime is 725716569587. The next prime is 725716569601. The reversal of 725716569600 is 6965617527.

725716569600 is a `hidden beast` number, since 7 + 2 + 5 + 7 + 16 + 569 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725716569601) 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 71 ways as a sum of consecutive naturals, for example, 153328834 + ... + 153333566.

Almost surely, 2^725716569600 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 725716569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428630818472).

725716569600 is an abundant number, since it is smaller than the sum of its proper divisors (2131545067344).

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

725716569600 is a wasteful number, since it uses less digits than its factorization.

725716569600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 725716569600 in words is "seven hundred twenty-five billion, seven hundred sixteen million, five hundred sixty-nine thousand, six hundred".