29906764272 has 840 divisors, whose sum is σ = 113469558912. Its totient is φ = 7544275200.

The previous prime is 29906764249. The next prime is 29906764273. The reversal of 29906764272 is 27246760992.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29906764273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 421221997 + ... + 421222067.

Almost surely, 2^29906764272 is an apocalyptic number.

29906764272 is a gapful number since it is divisible by the number (22) 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 29906764272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56734779456).

29906764272 is an abundant number, since it is smaller than the sum of its proper divisors (83562794640).

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

29906764272 is a wasteful number, since it uses less digits than its factorization.

29906764272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 29906764272 in words is "twenty-nine billion, nine hundred six million, seven hundred sixty-four thousand, two hundred seventy-two".