725484936960 has 1944 divisors, whose sum is σ = 3178251092016. Its totient is φ = 158018273280.

The previous prime is 725484936941. The next prime is 725484936971. The reversal of 725484936960 is 69639484527.

725484936960 is a `hidden beast` number, since 7 + 2 + 5 + 484 + 93 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 16871742699 + ... + 16871742741.

Almost surely, 2^725484936960 is an apocalyptic number.

725484936960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725484936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589125546008).

725484936960 is an abundant number, since it is smaller than the sum of its proper divisors (2452766155056).

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

725484936960 is an frugal number, since it uses more digits than its factorization.

725484936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 725484936960 in words is "seven hundred twenty-five billion, four hundred eighty-four million, nine hundred thirty-six thousand, nine hundred sixty".