29642337579918 has 128 divisors (see below), whose sum is σ = 72494312140800. Its totient is φ = 7891733380608.

The previous prime is 29642337579917. The next prime is 29642337579931. The reversal of 29642337579918 is 81997573324692.

It is a self number, because there is not a number n which added to its sum of digits gives 29642337579918.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29642337579917) 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, 34813446 + ... + 35654742.

It is an arithmetic number, because the mean of its divisors is an integer number (566361813600).

Almost surely, 2^{29642337579918} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29642337579918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36247156070400).

29642337579918 is an abundant number, since it is smaller than the sum of its proper divisors (42851974560882).

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

29642337579918 is a wasteful number, since it uses less digits than its factorization.

29642337579918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842054.

The product of its digits is 1234517760, while the sum is 75.

The spelling of 29642337579918 in words is "twenty-nine trillion, six hundred forty-two billion, three hundred thirty-seven million, five hundred seventy-nine thousand, nine hundred eighteen".