725845294476000 has 576 divisors, whose sum is σ = 2733251204436480. Its totient is φ = 181792543948800.

The previous prime is 725845294475993. The next prime is 725845294476061. The reversal of 725845294476000 is 674492548527.

725845294476000 is a `hidden beast` number, since 7 + 2 + 5 + 8 + 4 + 529 + 4 + 47 + 60 + 0 + 0 = 666.

It is a super-3 number, since 3×725845294476000³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291909982 + ... + 294386018.

It is an arithmetic number, because the mean of its divisors is an integer number (4745227785480).

Almost surely, 2^{725845294476000} 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 725845294476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366625602218240).

725845294476000 is an abundant number, since it is smaller than the sum of its proper divisors (2007405909960480).

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

725845294476000 is a wasteful number, since it uses less digits than its factorization.

725845294476000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476564 (or 2476543 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 725845294476000 in words is "seven hundred twenty-five trillion, eight hundred forty-five billion, two hundred ninety-four million, four hundred seventy-six thousand".