29066468736 has 256 divisors, whose sum is σ = 83036160000. Its totient is φ = 8982005760.

The previous prime is 29066468729. The next prime is 29066468741. The reversal of 29066468736 is 63786466092.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 31 ways as a sum of consecutive naturals, for example, 121616905 + ... + 121617143.

It is an arithmetic number, because the mean of its divisors is an integer number (324360000).

Almost surely, 2^29066468736 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 29066468736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41518080000).

29066468736 is an abundant number, since it is smaller than the sum of its proper divisors (53969691264).

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

29066468736 is a wasteful number, since it uses less digits than its factorization.

29066468736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 29066468736 in words is "twenty-nine billion, sixty-six million, four hundred sixty-eight thousand, seven hundred thirty-six".