729771033516 has 96 divisors (see below), whose sum is σ = 2052121128960. Its totient is φ = 197180910144.

The previous prime is 729771033491. The next prime is 729771033517. The reversal of 729771033516 is 615330177927.

It is a happy number.

It is a super-2 number, since 2×729771033516² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (729771033517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492465 + ... + 1304631.

It is an arithmetic number, because the mean of its divisors is an integer number (21376261760).

Almost surely, 2^729771033516 is an apocalyptic number.

729771033516 is a gapful number since it is divisible by the number (76) 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 729771033516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026060564480).

729771033516 is an abundant number, since it is smaller than the sum of its proper divisors (1322350095444).

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

729771033516 is a wasteful number, since it uses less digits than its factorization.

729771033516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812763 (or 812761 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 51.

The spelling of 729771033516 in words is "seven hundred twenty-nine billion, seven hundred seventy-one million, thirty-three thousand, five hundred sixteen".