29642317056 has 432 divisors, whose sum is σ = 99638622720. Its totient is φ = 8386560000.

The previous prime is 29642317049. The next prime is 29642317079. The reversal of 29642317056 is 65071324692.

29642317056 is a `hidden beast` number, since 2 + 9 + 6 + 423 + 170 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22783606 + ... + 22784906.

It is an arithmetic number, because the mean of its divisors is an integer number (230644960).

Almost surely, 2^29642317056 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 29642317056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49819311360).

29642317056 is an abundant number, since it is smaller than the sum of its proper divisors (69996305664).

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

29642317056 is a wasteful number, since it uses less digits than its factorization.

29642317056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 29642317056 in words is "twenty-nine billion, six hundred forty-two million, three hundred seventeen thousand, fifty-six".