29970427032 has 480 divisors, whose sum is σ = 111373859520. Its totient is φ = 7437588480.

The previous prime is 29970427031. The next prime is 29970427033. The reversal of 29970427032 is 23072407992.

It is an interprime number because it is at equal distance from previous prime (29970427031) and next prime (29970427033).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29970427031) 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 119 ways as a sum of consecutive naturals, for example, 7015057 + ... + 7019327.

It is an arithmetic number, because the mean of its divisors is an integer number (232028874).

Almost surely, 2^29970427032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29970427032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55686929760).

29970427032 is an abundant number, since it is smaller than the sum of its proper divisors (81403432488).

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

29970427032 is a wasteful number, since it uses less digits than its factorization.

29970427032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 29970427032 in words is "twenty-nine billion, nine hundred seventy million, four hundred twenty-seven thousand, thirty-two".