729985536 has 360 divisors, whose sum is σ = 2537927964. Its totient is φ = 201277440.

The previous prime is 729985513. The next prime is 729985561. The reversal of 729985536 is 635589927.

729985536 is a `hidden beast` number, since 7 + 29 + 9 + 85 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 704583936 + 25401600 = 26544^2 + 5040^2 .

Its product of digits (4082400) is a multiple of the sum of its prime divisors (126).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11966946 + ... + 11967006.

Almost surely, 2^729985536 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 729985536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268963982).

729985536 is an abundant number, since it is smaller than the sum of its proper divisors (1807942428).

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

729985536 is a wasteful number, since it uses less digits than its factorization.

729985536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 729985536 is about 27018.2445025579. The cubic root of 729985536 is about 900.4053877438.

The spelling of 729985536 in words is "seven hundred twenty-nine million, nine hundred eighty-five thousand, five hundred thirty-six".