729641714688 has 528 divisors, whose sum is σ = 2278957524480. Its totient is φ = 224019873792.

The previous prime is 729641714677. The next prime is 729641714689. The reversal of 729641714688 is 886417146927.

729641714688 is a `hidden beast` number, since 72 + 9 + 6 + 417 + 146 + 8 + 8 = 666.

It is a super-3 number, since 3×729641714688³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (729641714689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2066973520 + ... + 2066973872.

Almost surely, 2^729641714688 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 729641714688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139478762240).

729641714688 is an abundant number, since it is smaller than the sum of its proper divisors (1549315809792).

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

729641714688 is a wasteful number, since it uses less digits than its factorization.

729641714688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 621 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 729641714688 in words is "seven hundred twenty-nine billion, six hundred forty-one million, seven hundred fourteen thousand, six hundred eighty-eight".