729635604480 has 1152 divisors, whose sum is σ = 2855372083200. Its totient is φ = 171228266496.

The previous prime is 729635604469. The next prime is 729635604569. The reversal of 729635604480 is 84406536927.

729635604480 is a `hidden beast` number, since 7 + 29 + 6 + 3 + 5 + 604 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3780495264 + ... + 3780495456.

It is an arithmetic number, because the mean of its divisors is an integer number (2478621600).

Almost surely, 2^729635604480 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 729635604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427686041600).

729635604480 is an abundant number, since it is smaller than the sum of its proper divisors (2125736478720).

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

729635604480 is a wasteful number, since it uses less digits than its factorization.

729635604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 729635604480 in words is "seven hundred twenty-nine billion, six hundred thirty-five million, six hundred four thousand, four hundred eighty".