725725300608 has 1152 divisors, whose sum is σ = 2772343941120. Its totient is φ = 176836608000.

The previous prime is 725725300603. The next prime is 725725300681. The reversal of 725725300608 is 806003527527.

725725300608 is a `hidden beast` number, since 7 + 2 + 5 + 7 + 2 + 5 + 30 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725725300603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4622454066 + ... + 4622454222.

It is an arithmetic number, because the mean of its divisors is an integer number (2406548560).

Almost surely, 2^725725300608 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 725725300608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386171970560).

725725300608 is an abundant number, since it is smaller than the sum of its proper divisors (2046618640512).

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

725725300608 is a wasteful number, since it uses less digits than its factorization.

725725300608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 725725300608 in words is "seven hundred twenty-five billion, seven hundred twenty-five million, three hundred thousand, six hundred eight".