29797163424 has 216 divisors, whose sum is σ = 99047134368. Its totient is φ = 8472280320.

The previous prime is 29797163413. The next prime is 29797163467. The reversal of 29797163424 is 42436179792.

29797163424 is a `hidden beast` number, since 2 + 97 + 9 + 71 + 63 + 424 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2972629 + ... + 2982635.

It is an arithmetic number, because the mean of its divisors is an integer number (458551548).

Almost surely, 2^29797163424 is an apocalyptic number.

29797163424 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 29797163424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49523567184).

29797163424 is an abundant number, since it is smaller than the sum of its proper divisors (69249970944).

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

29797163424 is a wasteful number, since it uses less digits than its factorization.

29797163424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10248 (or 10230 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 29797163424 in words is "twenty-nine billion, seven hundred ninety-seven million, one hundred sixty-three thousand, four hundred twenty-four".