725484720384 has 216 divisors, whose sum is σ = 2277773097600. Its totient is φ = 221200035840.

The previous prime is 725484720377. The next prime is 725484720397. The reversal of 725484720384 is 483027484527.

725484720384 is a `hidden beast` number, since 7 + 2 + 548 + 47 + 20 + 38 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 725484720384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 983769 + ... + 1555239.

Almost surely, 2^725484720384 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 725484720384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138886548800).

725484720384 is an abundant number, since it is smaller than the sum of its proper divisors (1552288377216).

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

725484720384 is a wasteful number, since it uses less digits than its factorization.

725484720384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571541 (or 571524 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 725484720384 in words is "seven hundred twenty-five billion, four hundred eighty-four million, seven hundred twenty thousand, three hundred eighty-four".