727726446252000 has 1728 divisors, whose sum is σ = 3036706332528960. Its totient is φ = 163851641856000.

The previous prime is 727726446251977. The next prime is 727726446252079. The reversal of 727726446252000 is 252644627727.

727726446252000 is a `hidden beast` number, since 7 + 2 + 7 + 7 + 2 + 6 + 4 + 4 + 625 + 2 + 0 + 0 + 0 = 666.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 4899417735 + ... + 4899566265.

It is an arithmetic number, because the mean of its divisors is an integer number (1757353201695).

Almost surely, 2^{727726446252000} 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 727726446252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518353166264480).

727726446252000 is an abundant number, since it is smaller than the sum of its proper divisors (2308979886276960).

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

727726446252000 is a wasteful number, since it uses less digits than its factorization.

727726446252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148642 (or 148602 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 54.

The spelling of 727726446252000 in words is "seven hundred twenty-seven trillion, seven hundred twenty-six billion, four hundred forty-six million, two hundred fifty-two thousand".