729598472064 has 768 divisors, whose sum is σ = 2770342848000. Its totient is φ = 189475614720.

The previous prime is 729598472059. The next prime is 729598472081. The reversal of 729598472064 is 460274895927.

729598472064 is a `hidden beast` number, since 72 + 9 + 5 + 98 + 472 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 729598471992 and 729598472010.

It is a congruent number.

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, 117352284 + ... + 117358500.

It is an arithmetic number, because the mean of its divisors is an integer number (3607217250).

Almost surely, 2^729598472064 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 729598472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385171424000).

729598472064 is an abundant number, since it is smaller than the sum of its proper divisors (2040744375936).

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

729598472064 is an equidigital number, since it uses as much as digits as its factorization.

729598472064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6278 (or 6240 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 729598472064 in words is "seven hundred twenty-nine billion, five hundred ninety-eight million, four hundred seventy-two thousand, sixty-four".