29642966679456 has 288 divisors, whose sum is σ = 95598864728640. Its totient is φ = 8637311066112.

The previous prime is 29642966679439. The next prime is 29642966679467. The reversal of 29642966679456 is 65497666924692.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175408056 + ... + 175576968.

It is an arithmetic number, because the mean of its divisors is an integer number (331940502530).

Almost surely, 2^{29642966679456} is an apocalyptic number.

29642966679456 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 29642966679456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47799432364320).

29642966679456 is an abundant number, since it is smaller than the sum of its proper divisors (65955898049184).

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

29642966679456 is a wasteful number, since it uses less digits than its factorization.

29642966679456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171428 (or 171417 counting only the distinct ones).

The product of its digits is 12697896960, while the sum is 81.

The spelling of 29642966679456 in words is "twenty-nine trillion, six hundred forty-two billion, nine hundred sixty-six million, six hundred seventy-nine thousand, four hundred fifty-six".