29727142984 has 128 divisors (see below), whose sum is σ = 72459878400. Its totient is φ = 11093725440.

The previous prime is 29727142961. The next prime is 29727142997. The reversal of 29727142984 is 48924172792.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2262177 + ... + 2275279.

It is an arithmetic number, because the mean of its divisors is an integer number (566092800).

Almost surely, 2^29727142984 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 29727142984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36229939200).

29727142984 is an abundant number, since it is smaller than the sum of its proper divisors (42732735416).

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

29727142984 is a wasteful number, since it uses less digits than its factorization.

29727142984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13283 (or 13279 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 55.

The spelling of 29727142984 in words is "twenty-nine billion, seven hundred twenty-seven million, one hundred forty-two thousand, nine hundred eighty-four".