725015415567744 has 2304 divisors, whose sum is σ = 2616155135193600. Its totient is φ = 188698263552000.

The previous prime is 725015415567733. The next prime is 725015415567767. The reversal of 725015415567744 is 447765514510527.

725015415567744 is a `hidden beast` number, since 7 + 2 + 5 + 0 + 1 + 5 + 4 + 1 + 556 + 7 + 74 + 4 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2888507631619 + ... + 2888507631869.

It is an arithmetic number, because the mean of its divisors is an integer number (1135483999650).

Almost surely, 2^{725015415567744} 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 725015415567744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308077567596800).

725015415567744 is an abundant number, since it is smaller than the sum of its proper divisors (1891139719625856).

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

725015415567744 is a wasteful number, since it uses less digits than its factorization.

725015415567744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 164640000, while the sum is 63.

The spelling of 725015415567744 in words is "seven hundred twenty-five trillion, fifteen billion, four hundred fifteen million, five hundred sixty-seven thousand, seven hundred forty-four".