725064057720 has 160 divisors (see below), whose sum is σ = 2441871321120. Its totient is φ = 192965587200.

The previous prime is 725064057689. The next prime is 725064057761. The reversal of 725064057720 is 27750460527.

725064057720 is a `hidden beast` number, since 7 + 2 + 50 + 6 + 4 + 0 + 577 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1407270 + ... + 1852170.

It is an arithmetic number, because the mean of its divisors is an integer number (15261695757).

Almost surely, 2^725064057720 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 725064057720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220935660560).

725064057720 is an abundant number, since it is smaller than the sum of its proper divisors (1716807263400).

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

725064057720 is a wasteful number, since it uses less digits than its factorization.

725064057720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445427 (or 445414 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 725064057720 in words is "seven hundred twenty-five billion, sixty-four million, fifty-seven thousand, seven hundred twenty".