725047064400 has 240 divisors, whose sum is σ = 2353338376704. Its totient is φ = 190789885440.

The previous prime is 725047064377. The next prime is 725047064429. The reversal of 725047064400 is 4460740527.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94317357 + ... + 94325043.

Almost surely, 2^725047064400 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 725047064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176669188352).

725047064400 is an abundant number, since it is smaller than the sum of its proper divisors (1628291312304).

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

725047064400 is a wasteful number, since it uses less digits than its factorization.

725047064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8738 (or 8727 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 725047064400 in words is "seven hundred twenty-five billion, forty-seven million, sixty-four thousand, four hundred".