725756775744 has 448 divisors, whose sum is σ = 2580884490240. Its totient is φ = 173827399680.

The previous prime is 725756775743. The next prime is 725756775781. The reversal of 725756775744 is 447577657527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725756775743) 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 63 ways as a sum of consecutive naturals, for example, 333067647 + ... + 333069825.

It is an arithmetic number, because the mean of its divisors is an integer number (5760902880).

Almost surely, 2^725756775744 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 725756775744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290442245120).

725756775744 is an abundant number, since it is smaller than the sum of its proper divisors (1855127714496).

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

725756775744 is a wasteful number, since it uses less digits than its factorization.

725756775744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3948 counting only the distinct ones).

The product of its digits is 403368000, while the sum is 66.

The spelling of 725756775744 in words is "seven hundred twenty-five billion, seven hundred fifty-six million, seven hundred seventy-five thousand, seven hundred forty-four".