29234726976 has 224 divisors, whose sum is σ = 96508588288. Its totient is φ = 7604305920.

The previous prime is 29234726947. The next prime is 29234726987. The reversal of 29234726976 is 67962743292.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×29234726976² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1263996 + ... + 1286916.

It is an arithmetic number, because the mean of its divisors is an integer number (430841912).

Almost surely, 2^29234726976 is an apocalyptic number.

29234726976 is a gapful number since it is divisible by the number (26) 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 29234726976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48254294144).

29234726976 is an abundant number, since it is smaller than the sum of its proper divisors (67273861312).

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

29234726976 is a wasteful number, since it uses less digits than its factorization.

29234726976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23029 (or 23019 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 57.

The spelling of 29234726976 in words is "twenty-nine billion, two hundred thirty-four million, seven hundred twenty-six thousand, nine hundred seventy-six".