29380766688 has 384 divisors, whose sum is σ = 106935091200. Its totient is φ = 7641133056.

The previous prime is 29380766683. The next prime is 29380766699. The reversal of 29380766688 is 88666708392.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29380766683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5736993 + ... + 5742111.

It is an arithmetic number, because the mean of its divisors is an integer number (278476800).

Almost surely, 2^29380766688 is an apocalyptic number.

29380766688 is a gapful number since it is divisible by the number (28) 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 29380766688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53467545600).

29380766688 is an abundant number, since it is smaller than the sum of its proper divisors (77554324512).

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

29380766688 is a wasteful number, since it uses less digits than its factorization.

29380766688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5231 (or 5217 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 29380766688 in words is "twenty-nine billion, three hundred eighty million, seven hundred sixty-six thousand, six hundred eighty-eight".