725601760600 has 48 divisors (see below), whose sum is σ = 1687605379200. Its totient is φ = 290140698240.

The previous prime is 725601760549. The next prime is 725601760603. The reversal of 725601760600 is 6067106527.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725601760603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41784 + ... + 1205383.

It is an arithmetic number, because the mean of its divisors is an integer number (35158445400).

Almost surely, 2^725601760600 is an apocalyptic number.

It is an amenable number.

725601760600 is an abundant number, since it is smaller than the sum of its proper divisors (962003618600).

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

725601760600 is a wasteful number, since it uses less digits than its factorization.

725601760600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250092 (or 1250083 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 725601760600 in words is "seven hundred twenty-five billion, six hundred one million, seven hundred sixty thousand, six hundred".