29468204676 has 72 divisors (see below), whose sum is σ = 77346884160. Its totient is φ = 9810152352.

The previous prime is 29468204663. The next prime is 29468204677. The reversal of 29468204676 is 67640286492.

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 (29468204677) by changing a digit.

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, 755665 + ... + 793703.

It is an arithmetic number, because the mean of its divisors is an integer number (1074262280).

Almost surely, 2^29468204676 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 29468204676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38673442080).

29468204676 is an abundant number, since it is smaller than the sum of its proper divisors (47878679484).

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

29468204676 is a wasteful number, since it uses less digits than its factorization.

29468204676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38855 (or 38841 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 29468204676 in words is "twenty-nine billion, four hundred sixty-eight million, two hundred four thousand, six hundred seventy-six".