29998424034624 has 224 divisors, whose sum is σ = 81726224859136. Its totient is φ = 9704156866560.

The previous prime is 29998424034617. The next prime is 29998424034643. The reversal of 29998424034624 is 42643042489992.

It is a super-2 number, since 2×29998424034624² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6745764369 + ... + 6745768815.

Almost surely, 2^{29998424034624} is an apocalyptic number.

29998424034624 is a gapful number since it is divisible by the number (24) 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 29998424034624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40863112429568).

29998424034624 is an abundant number, since it is smaller than the sum of its proper divisors (51727800824512).

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

29998424034624 is a wasteful number, since it uses less digits than its factorization.

29998424034624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6733 (or 6723 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 66.

The spelling of 29998424034624 in words is "twenty-nine trillion, nine hundred ninety-eight billion, four hundred twenty-four million, thirty-four thousand, six hundred twenty-four".