725836325760 has 3072 divisors, whose sum is σ = 3488176742400. Its totient is φ = 141018071040.

The previous prime is 725836325749. The next prime is 725836325801. The reversal of 725836325760 is 67523638527.

It is a happy number.

725836325760 is a `hidden beast` number, since 7 + 2 + 5 + 8 + 3 + 63 + 2 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 725836325697 and 725836325706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11898956130 + ... + 11898956190.

It is an arithmetic number, because the mean of its divisors is an integer number (1135474200).

Almost surely, 2^725836325760 is an apocalyptic number.

725836325760 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 725836325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744088371200).

725836325760 is an abundant number, since it is smaller than the sum of its proper divisors (2762340416640).

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

725836325760 is a wasteful number, since it uses less digits than its factorization.

725836325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 725836325760 in words is "seven hundred twenty-five billion, eight hundred thirty-six million, three hundred twenty-five thousand, seven hundred sixty".