729084672000 has 768 divisors, whose sum is σ = 2711969769600. Its totient is φ = 193226342400.

The previous prime is 729084671989. The next prime is 729084672037. The reversal of 729084672000 is 276480927.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2163455832 + ... + 2163456168.

Almost surely, 2^729084672000 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 729084672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355984884800).

729084672000 is an abundant number, since it is smaller than the sum of its proper divisors (1982885097600).

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

729084672000 is a wasteful number, since it uses less digits than its factorization.

729084672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 729084672000 in words is "seven hundred twenty-nine billion, eighty-four million, six hundred seventy-two thousand".