729488981088 has 144 divisors (see below), whose sum is σ = 2374881949440. Its totient is φ = 208070016768.

The previous prime is 729488981077. The next prime is 729488981131. The reversal of 729488981088 is 880189884927.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875173 + ... + 1491611.

It is an arithmetic number, because the mean of its divisors is an integer number (16492235760).

Almost surely, 2^729488981088 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 729488981088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187440974720).

729488981088 is an abundant number, since it is smaller than the sum of its proper divisors (1645392968352).

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

729488981088 is a wasteful number, since it uses less digits than its factorization.

729488981088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617049 (or 617038 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 72.

The spelling of 729488981088 in words is "seven hundred twenty-nine billion, four hundred eighty-eight million, nine hundred eighty-one thousand, eighty-eight".