29424696984 has 112 divisors (see below), whose sum is σ = 82796061600. Its totient is φ = 9799113024.

The previous prime is 29424696979. The next prime is 29424696989. The reversal of 29424696984 is 48969642492.

29424696984 is a `hidden beast` number, since 2 + 94 + 2 + 469 + 6 + 9 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (29424696979) and next prime (29424696989).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29424696989) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9732097 + ... + 9735119.

It is an arithmetic number, because the mean of its divisors is an integer number (739250550).

Almost surely, 2^29424696984 is an apocalyptic number.

29424696984 is a gapful number since it is divisible by the number (24) 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 29424696984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41398030800).

29424696984 is an abundant number, since it is smaller than the sum of its proper divisors (53371364616).

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

29424696984 is a wasteful number, since it uses less digits than its factorization.

29424696984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716 (or 4697 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 29424696984 in words is "twenty-nine billion, four hundred twenty-four million, six hundred ninety-six thousand, nine hundred eighty-four".