729980117568 has 336 divisors, whose sum is σ = 2406222873600. Its totient is φ = 209866567680.

The previous prime is 729980117567. The next prime is 729980117569. The reversal of 729980117568 is 865711089927.

It is an interprime number because it is at equal distance from previous prime (729980117567) and next prime (729980117569).

It is a super-2 number, since 2×729980117568² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (729980117567) by changing a digit.

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, 6677493 + ... + 6785931.

It is an arithmetic number, because the mean of its divisors is an integer number (7161377600).

Almost surely, 2^729980117568 is an apocalyptic number.

729980117568 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729980117568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203111436800).

729980117568 is an abundant number, since it is smaller than the sum of its proper divisors (1676242756032).

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

729980117568 is a wasteful number, since it uses less digits than its factorization.

729980117568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108530 (or 108517 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 63.

The spelling of 729980117568 in words is "seven hundred twenty-nine billion, nine hundred eighty million, one hundred seventeen thousand, five hundred sixty-eight".