32134729536 has 560 divisors, whose sum is σ = 124167326976. Its totient is φ = 7974567936.

The previous prime is 32134729499. The next prime is 32134729537. The reversal of 32134729536 is 63592743123.

32134729536 is a `hidden beast` number, since 32 + 13 + 4 + 72 + 9 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 32134729491 and 32134729500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32134729537) 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 79 ways as a sum of consecutive naturals, for example, 8017645 + ... + 8021651.

Almost surely, 2^32134729536 is an apocalyptic number.

32134729536 is a gapful number since it is divisible by the number (36) 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 32134729536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62083663488).

32134729536 is an abundant number, since it is smaller than the sum of its proper divisors (92032597440).

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

32134729536 is a wasteful number, since it uses less digits than its factorization.

32134729536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068 (or 4049 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 32134729536 in words is "thirty-two billion, one hundred thirty-four million, seven hundred twenty-nine thousand, five hundred thirty-six".