725097484800 has 1200 divisors, whose sum is σ = 3017017523520. Its totient is φ = 170652303360.

The previous prime is 725097484759. The next prime is 725097484819. The reversal of 725097484800 is 8484790527.

It is a happy number.

725097484800 is a `hidden beast` number, since 72 + 5 + 0 + 97 + 4 + 8 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 310002031 + ... + 310004369.

Almost surely, 2^725097484800 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 725097484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508508761760).

725097484800 is an abundant number, since it is smaller than the sum of its proper divisors (2291920038720).

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

725097484800 is a wasteful number, since it uses less digits than its factorization.

725097484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 725097484800 in words is "seven hundred twenty-five billion, ninety-seven million, four hundred eighty-four thousand, eight hundred".