729802579968 has 896 divisors, whose sum is σ = 2737371248640. Its totient is φ = 186643906560.

The previous prime is 729802579963. The next prime is 729802579997. The reversal of 729802579968 is 869975208927.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×729802579968² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 729802579896 and 729802579905.

It is not an unprimeable number, because it can be changed into a prime (729802579963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1243274971 + ... + 1243275557.

It is an arithmetic number, because the mean of its divisors is an integer number (3055101840).

Almost surely, 2^729802579968 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 729802579968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368685624320).

729802579968 is an abundant number, since it is smaller than the sum of its proper divisors (2007568668672).

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

729802579968 is a wasteful number, since it uses less digits than its factorization.

729802579968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 729802579968 in words is "seven hundred twenty-nine billion, eight hundred two million, five hundred seventy-nine thousand, nine hundred sixty-eight".