29642387712 has 216 divisors, whose sum is σ = 92039455872. Its totient is φ = 8444620800.

The previous prime is 29642387701. The next prime is 29642387713. The reversal of 29642387712 is 21778324692.

It is a super-2 number, since 2×29642387712² (a number of 22 digits) contains 22 as substring.

Its product of digits (2032128) is a multiple of the sum of its prime divisors (2304).

It is not an unprimeable number, because it can be changed into a prime (29642387713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15842137 + ... + 15844007.

It is an arithmetic number, because the mean of its divisors is an integer number (426108592).

Almost surely, 2^29642387712 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 29642387712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46019727936).

29642387712 is an abundant number, since it is smaller than the sum of its proper divisors (62397068160).

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

29642387712 is a wasteful number, since it uses less digits than its factorization.

29642387712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2304 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The spelling of 29642387712 in words is "twenty-nine billion, six hundred forty-two million, three hundred eighty-seven thousand, seven hundred twelve".