729884454096 has 240 divisors, whose sum is σ = 2299140220608. Its totient is φ = 198719539200.

The previous prime is 729884454023. The next prime is 729884454127. The reversal of 729884454096 is 690454488927.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4058566 + ... + 4234586.

Almost surely, 2^729884454096 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 729884454096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149570110304).

729884454096 is an abundant number, since it is smaller than the sum of its proper divisors (1569255766512).

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

729884454096 is a wasteful number, since it uses less digits than its factorization.

729884454096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176130 (or 176117 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 66.

The spelling of 729884454096 in words is "seven hundred twenty-nine billion, eight hundred eighty-four million, four hundred fifty-four thousand, ninety-six".