729145664 has 56 divisors (see below), whose sum is σ = 1573807368. Its totient is φ = 333158400.

The previous prime is 729145631. The next prime is 729145673. The reversal of 729145664 is 466541927.

It can be written as a sum of positive squares in 4 ways, for example, as 93702400 + 635443264 = 9680^2 + 25208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79694 + ... + 88370.

It is an arithmetic number, because the mean of its divisors is an integer number (28103703).

Almost surely, 2^729145664 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 729145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786903684).

729145664 is an abundant number, since it is smaller than the sum of its proper divisors (844661704).

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

729145664 is a wasteful number, since it uses less digits than its factorization.

729145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8803 (or 8793 counting only the distinct ones).

The product of its digits is 362880, while the sum is 44.

The square root of 729145664 is about 27002.6973467467. The cubic root of 729145664 is about 900.0599400408.

The spelling of 729145664 in words is "seven hundred twenty-nine million, one hundred forty-five thousand, six hundred sixty-four".