725414463360 has 576 divisors, whose sum is σ = 2678204412000. Its totient is φ = 180708433920.

The previous prime is 725414463337. The next prime is 725414463421. The reversal of 725414463360 is 63364414527.

725414463360 is a `hidden beast` number, since 7 + 2 + 5 + 4 + 1 + 4 + 4 + 633 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×725414463360² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 160523181 + ... + 160527699.

Almost surely, 2^725414463360 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 725414463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339102206000).

725414463360 is an abundant number, since it is smaller than the sum of its proper divisors (1952789948640).

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

725414463360 is a wasteful number, since it uses less digits than its factorization.

725414463360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4635 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

Adding to 725414463360 its reverse (63364414527), we get a palindrome (788778877887).

The spelling of 725414463360 in words is "seven hundred twenty-five billion, four hundred fourteen million, four hundred sixty-three thousand, three hundred sixty".