29968706842420 has 12 divisors (see below), whose sum is σ = 62934284369124. Its totient is φ = 11987482736960.

The previous prime is 29968706842411. The next prime is 29968706842421. The reversal of 29968706842420 is 2424860786992.

It can be written as a sum of positive squares in 2 ways, for example, as 7101297610276 + 22867409232144 = 2664826^2 + 4781988^2 .

It is a super-2 number, since 2×29968706842420² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29968706842421) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 749217671041 + ... + 749217671080.

It is an arithmetic number, because the mean of its divisors is an integer number (5244523697427).

Almost surely, 2^{29968706842420} is an apocalyptic number.

29968706842420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29968706842420 is an abundant number, since it is smaller than the sum of its proper divisors (32965577526704).

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

29968706842420 is a wasteful number, since it uses less digits than its factorization.

29968706842420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498435342130 (or 1498435342128 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 67.

The spelling of 29968706842420 in words is "twenty-nine trillion, nine hundred sixty-eight billion, seven hundred six million, eight hundred forty-two thousand, four hundred twenty".