29740013568 has 192 divisors, whose sum is σ = 92737008000. Its totient is φ = 9391251456.

The previous prime is 29740013551. The next prime is 29740013591. The reversal of 29740013568 is 86531004792.

29740013568 is a `hidden beast` number, since 2 + 9 + 74 + 0 + 0 + 13 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 15 ways as a sum of consecutive naturals, for example, 1036471 + ... + 1064777.

It is an arithmetic number, because the mean of its divisors is an integer number (483005250).

It is a 2-persistent number, because it is pandigital, and so is 2⋅29740013568 = 59480027136, but 3⋅29740013568 = 89220040704 is not.

Almost surely, 2^29740013568 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 29740013568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46368504000).

29740013568 is an abundant number, since it is smaller than the sum of its proper divisors (62996994432).

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

29740013568 is a wasteful number, since it uses less digits than its factorization.

29740013568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28357 (or 28331 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 29740013568 in words is "twenty-nine billion, seven hundred forty million, thirteen thousand, five hundred sixty-eight".