29939742720 has 192 divisors, whose sum is σ = 106427412000. Its totient is φ = 7983857664.

The previous prime is 29939742649. The next prime is 29939742733. The reversal of 29939742720 is 2724793992.

29939742720 is a `hidden beast` number, since 29 + 93 + 97 + 427 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 222336 + ... + 330624.

Almost surely, 2^29939742720 is an apocalyptic number.

29939742720 is a gapful number since it is divisible by the number (20) 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 29939742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53213706000).

29939742720 is an abundant number, since it is smaller than the sum of its proper divisors (76487669280).

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

29939742720 is a wasteful number, since it uses less digits than its factorization.

29939742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108325 (or 108299 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 29939742720 in words is "twenty-nine billion, nine hundred thirty-nine million, seven hundred forty-two thousand, seven hundred twenty".