729301082496 has 128 divisors (see below), whose sum is σ = 2219066304000. Its totient is φ = 207890178048.

The previous prime is 729301082483. The next prime is 729301082533. The reversal of 729301082496 is 694280103927.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850605 + ... + 1477203.

It is an arithmetic number, because the mean of its divisors is an integer number (17336455500).

Almost surely, 2^729301082496 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 729301082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109533152000).

729301082496 is an abundant number, since it is smaller than the sum of its proper divisors (1489765221504).

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

729301082496 is a wasteful number, since it uses less digits than its factorization.

729301082496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627056 (or 627044 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 729301082496 in words is "seven hundred twenty-nine billion, three hundred one million, eighty-two thousand, four hundred ninety-six".