729149566464 has 240 divisors, whose sum is σ = 2298689593200. Its totient is φ = 220664954880.

The previous prime is 729149566459. The next prime is 729149566489. The reversal of 729149566464 is 464665941927.

It is a happy number.

729149566464 is a `hidden beast` number, since 7 + 2 + 9 + 1 + 4 + 9 + 566 + 4 + 64 = 666.

It is a super-3 number, since 3×729149566464³ (a number of 37 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 40389312 + ... + 40407360.

It is an arithmetic number, because the mean of its divisors is an integer number (9577873305).

Almost surely, 2^729149566464 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 729149566464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149344796600).

729149566464 is an abundant number, since it is smaller than the sum of its proper divisors (1569540026736).

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

729149566464 is a wasteful number, since it uses less digits than its factorization.

729149566464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18881 (or 18862 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 729149566464 in words is "seven hundred twenty-nine billion, one hundred forty-nine million, five hundred sixty-six thousand, four hundred sixty-four".