29712442032 has 960 divisors, whose sum is σ = 114246021120. Its totient is φ = 7407106560.

The previous prime is 29712442031. The next prime is 29712442051. The reversal of 29712442032 is 23024421792.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29712442031) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 690987003 + ... + 690987045.

It is an arithmetic number, because the mean of its divisors is an integer number (119006272).

Almost surely, 2^29712442032 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 29712442032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57123010560).

29712442032 is an abundant number, since it is smaller than the sum of its proper divisors (84533579088).

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

29712442032 is a wasteful number, since it uses less digits than its factorization.

29712442032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 29712442032 in words is "twenty-nine billion, seven hundred twelve million, four hundred forty-two thousand, thirty-two".