29641171968 has 176 divisors, whose sum is σ = 88216201920. Its totient is φ = 9831628800.

The previous prime is 29641171949. The next prime is 29641171969. The reversal of 29641171968 is 86917114692.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (29641171969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5831188 + ... + 5836268.

It is an arithmetic number, because the mean of its divisors is an integer number (501228420).

Almost surely, 2^29641171968 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 29641171968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44108100960).

29641171968 is an abundant number, since it is smaller than the sum of its proper divisors (58575029952).

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

29641171968 is a wasteful number, since it uses less digits than its factorization.

29641171968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5297 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 29641171968 in words is "twenty-nine billion, six hundred forty-one million, one hundred seventy-one thousand, nine hundred sixty-eight".