729256203648 has 384 divisors, whose sum is σ = 2633438545920. Its totient is φ = 196101513216.

The previous prime is 729256203623. The next prime is 729256203653. The reversal of 729256203648 is 846302652927.

729256203648 is a `hidden beast` number, since 7 + 2 + 9 + 2 + 5 + 620 + 3 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×729256203648² (a number of 25 digits) contains 22 as substring.

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 = 729256203594 and 729256203603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3602865 + ... + 3799887.

It is an arithmetic number, because the mean of its divisors is an integer number (6857912880).

Almost surely, 2^729256203648 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 729256203648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316719272960).

729256203648 is an abundant number, since it is smaller than the sum of its proper divisors (1904182342272).

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

729256203648 is a wasteful number, since it uses less digits than its factorization.

729256203648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197076 (or 197052 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 729256203648 in words is "seven hundred twenty-nine billion, two hundred fifty-six million, two hundred three thousand, six hundred forty-eight".