729486810000 has 1125 divisors, whose sum is σ = 2896570846719. Its totient is φ = 177106176000.

The previous prime is 729486809981. The next prime is 729486810049. The reversal of 729486810000 is 18684927.

The square root of 729486810000 is 854100.

It is a perfect power (a square), and thus also a powerful number.

729486810000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 492450255504 + 237036554496 = 701748^2 + 486864^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

It is a super-2 number, since 2×729486810000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 9992969964 + ... + 9992970036.

Almost surely, 2^729486810000 is an apocalyptic number.

729486810000 is the 854100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729486810000

729486810000 is an abundant number, since it is smaller than the sum of its proper divisors (2167084036719).

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

729486810000 is an equidigital number, since it uses as much as digits as its factorization.

729486810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 729486810000 in words is "seven hundred twenty-nine billion, four hundred eighty-six million, eight hundred ten thousand".