729134911008 has 480 divisors, whose sum is σ = 2622053427840. Its totient is φ = 194118819840.

The previous prime is 729134911007. The next prime is 729134911009. The reversal of 729134911008 is 800119431927.

729134911008 is a `hidden beast` number, since 7 + 291 + 349 + 1 + 10 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (729134911007) and next prime (729134911009).

It is not an unprimeable number, because it can be changed into a prime (729134911003) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 21011560 + ... + 21046232.

It is an arithmetic number, because the mean of its divisors is an integer number (5462611308).

Almost surely, 2^729134911008 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 729134911008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311026713920).

729134911008 is an abundant number, since it is smaller than the sum of its proper divisors (1892918516832).

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

729134911008 is a wasteful number, since it uses less digits than its factorization.

729134911008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34782 (or 34765 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 729134911008 in words is "seven hundred twenty-nine billion, one hundred thirty-four million, nine hundred eleven thousand, eight".