32712029064 has 512 divisors, whose sum is σ = 111476736000. Its totient is φ = 8752665600.

The previous prime is 32712029027. The next prime is 32712029071. The reversal of 32712029064 is 46092021723.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121605922 + ... + 121606190.

It is an arithmetic number, because the mean of its divisors is an integer number (217728000).

Almost surely, 2^32712029064 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 32712029064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55738368000).

32712029064 is an abundant number, since it is smaller than the sum of its proper divisors (78764706936).

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

32712029064 is a wasteful number, since it uses less digits than its factorization.

32712029064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 32712029064 in words is "thirty-two billion, seven hundred twelve million, twenty-nine thousand, sixty-four".