725116600373760 has 960 divisors, whose sum is σ = 2898849273914880. Its totient is φ = 164078148648960.

The previous prime is 725116600373699. The next prime is 725116600373783. The reversal of 725116600373760 is 67373006611527.

725116600373760 is a `hidden beast` number, since 7 + 2 + 51 + 166 + 0 + 0 + 373 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 725116600373697 and 725116600373706.

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 95 ways as a sum of consecutive naturals, for example, 73773176526 + ... + 73773186354.

It is an arithmetic number, because the mean of its divisors is an integer number (3019634660328).

Almost surely, 2^{725116600373760} is an apocalyptic number.

725116600373760 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 725116600373760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449424636957440).

725116600373760 is an abundant number, since it is smaller than the sum of its proper divisors (2173732673541120).

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

725116600373760 is a wasteful number, since it uses less digits than its factorization.

725116600373760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14409 (or 14390 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 725116600373760 in words is "seven hundred twenty-five trillion, one hundred sixteen billion, six hundred million, three hundred seventy-three thousand, seven hundred sixty".