725323382784 has 1728 divisors, whose sum is σ = 2985945515280. Its totient is φ = 173903708160.

The previous prime is 725323382743. The next prime is 725323382789. The reversal of 725323382784 is 487283323527.

725323382784 is a `hidden beast` number, since 7 + 2 + 5 + 32 + 338 + 278 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×725323382784² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (13547520) is a multiple of the sum of its prime divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 725323382784.

It is not an unprimeable number, because it can be changed into a prime (725323382789) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 55794106362 + ... + 55794106374.

Almost surely, 2^725323382784 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 725323382784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492972757640).

725323382784 is an abundant number, since it is smaller than the sum of its proper divisors (2260622132496).

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

725323382784 is an equidigital number, since it uses as much as digits as its factorization.

725323382784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 36 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 725323382784 in words is "seven hundred twenty-five billion, three hundred twenty-three million, three hundred eighty-two thousand, seven hundred eighty-four".