725263345404 has 288 divisors, whose sum is σ = 2116495180800. Its totient is φ = 207774927360.

The previous prime is 725263345403. The next prime is 725263345481. The reversal of 725263345404 is 404543362527.

725263345404 is a `hidden beast` number, since 7 + 2 + 5 + 2 + 633 + 4 + 5 + 4 + 0 + 4 = 666.

725263345404 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 725263345404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725263345403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46096219 + ... + 46111949.

It is an arithmetic number, because the mean of its divisors is an integer number (7348941600).

Almost surely, 2^725263345404 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 725263345404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058247590400).

725263345404 is an abundant number, since it is smaller than the sum of its proper divisors (1391231835396).

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

725263345404 is a wasteful number, since it uses less digits than its factorization.

725263345404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15905 (or 15900 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 725263345404 in words is "seven hundred twenty-five billion, two hundred sixty-three million, three hundred forty-five thousand, four hundred four".