725970960000 has 1440 divisors, whose sum is σ = 3094918887060. Its totient is φ = 162201600000.

The previous prime is 725970959993. The next prime is 725970960053. The reversal of 725970960000 is 69079527.

It can be written as a sum of positive squares in 10 ways, for example, as 42729850944 + 683241109056 = 206712^2 + 826584^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1132559680 + ... + 1132560320.

Almost surely, 2^725970960000 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 725970960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547459443530).

725970960000 is an abundant number, since it is smaller than the sum of its proper divisors (2368947927060).

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

725970960000 is a wasteful number, since it uses less digits than its factorization.

725970960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 725970960000 in words is "seven hundred twenty-five billion, nine hundred seventy million, nine hundred sixty thousand".