729341417376 has 768 divisors, whose sum is σ = 2604917145600. Its totient is φ = 195507302400.

The previous prime is 729341417369. The next prime is 729341417411. The reversal of 729341417376 is 673714143927.

It is a happy number.

729341417376 is a `hidden beast` number, since 7 + 2 + 93 + 414 + 1 + 73 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 417481335 + ... + 417483081.

It is an arithmetic number, because the mean of its divisors is an integer number (3391819200).

Almost surely, 2^729341417376 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 729341417376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302458572800).

729341417376 is an abundant number, since it is smaller than the sum of its proper divisors (1875575728224).

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

729341417376 is a wasteful number, since it uses less digits than its factorization.

729341417376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1916 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 729341417376 in words is "seven hundred twenty-nine billion, three hundred forty-one million, four hundred seventeen thousand, three hundred seventy-six".