729744520896 has 336 divisors, whose sum is σ = 2345654578176. Its totient is φ = 224064589824.

The previous prime is 729744520877. The next prime is 729744520903. The reversal of 729744520896 is 698025447927.

729744520896 is a `hidden beast` number, since 7 + 2 + 97 + 4 + 452 + 0 + 8 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12396685 + ... + 12455411.

It is an arithmetic number, because the mean of its divisors is an integer number (6981114816).

Almost surely, 2^729744520896 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 729744520896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172827289088).

729744520896 is an abundant number, since it is smaller than the sum of its proper divisors (1615910057280).

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

729744520896 is a wasteful number, since it uses less digits than its factorization.

729744520896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58818 (or 58796 counting only the distinct ones).

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

The spelling of 729744520896 in words is "seven hundred twenty-nine billion, seven hundred forty-four million, five hundred twenty thousand, eight hundred ninety-six".