729630405504 has 1280 divisors, whose sum is σ = 2937672460800. Its totient is φ = 173605109760.

The previous prime is 729630405499. The next prime is 729630405587. The reversal of 729630405504 is 405504036927.

729630405504 is a `hidden beast` number, since 7 + 2 + 9 + 630 + 4 + 0 + 5 + 5 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 729630405504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2376646119 + ... + 2376646425.

It is an arithmetic number, because the mean of its divisors is an integer number (2295056610).

Almost surely, 2^729630405504 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 729630405504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468836230400).

729630405504 is an abundant number, since it is smaller than the sum of its proper divisors (2208042055296).

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

729630405504 is a wasteful number, since it uses less digits than its factorization.

729630405504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 729630405504 in words is "seven hundred twenty-nine billion, six hundred thirty million, four hundred five thousand, five hundred four".