29657744128 has 216 divisors, whose sum is σ = 67996766880. Its totient is φ = 12867993600.

The previous prime is 29657744107. The next prime is 29657744141. The reversal of 29657744128 is 82144775692.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

Its product of digits (6773760) is a multiple of the sum of its prime divisors (672).

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 23 ways as a sum of consecutive naturals, for example, 49347028 + ... + 49347628.

Almost surely, 2^29657744128 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 29657744128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33998383440).

29657744128 is an abundant number, since it is smaller than the sum of its proper divisors (38339022752).

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

29657744128 is a wasteful number, since it uses less digits than its factorization.

29657744128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 672 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 55.

The spelling of 29657744128 in words is "twenty-nine billion, six hundred fifty-seven million, seven hundred forty-four thousand, one hundred twenty-eight".