29718130624 has 112 divisors (see below), whose sum is σ = 72649819648. Its totient is φ = 11745451008.

The previous prime is 29718130621. The next prime is 29718130643. The reversal of 29718130624 is 42603181792.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29718130621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8984779 + ... + 8988085.

It is an arithmetic number, because the mean of its divisors is an integer number (648659104).

Almost surely, 2^29718130624 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 29718130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36324909824).

29718130624 is an abundant number, since it is smaller than the sum of its proper divisors (42931689024).

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

29718130624 is a wasteful number, since it uses less digits than its factorization.

29718130624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4882 (or 4872 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 29718130624 in words is "twenty-nine billion, seven hundred eighteen million, one hundred thirty thousand, six hundred twenty-four".