725965000768 has 112 divisors (see below), whose sum is σ = 1652353555840. Its totient is φ = 310001872896.

The previous prime is 725965000759. The next prime is 725965000799. The reversal of 725965000768 is 867000569527.

It is a tau number, because it is divible by the number of its divisors (112).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 725965000768 = 2532³ + 8920³ = 6564³ + 7624³.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204668371 + ... + 204671917.

Almost surely, 2^725965000768 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 725965000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826176777920).

725965000768 is an abundant number, since it is smaller than the sum of its proper divisors (926388555072).

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

725965000768 is a wasteful number, since it uses less digits than its factorization.

725965000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5092 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 55.

The spelling of 725965000768 in words is "seven hundred twenty-five billion, nine hundred sixty-five million, seven hundred sixty-eight", and thus it is an aban number.