32606205632 has 672 divisors, whose sum is σ = 96385075200. Its totient is φ = 10801889280.

The previous prime is 32606205613. The next prime is 32606205661. The reversal of 32606205632 is 23650260623.

It is a junction number, because it is equal to n+sod(n) for n = 32606205592 and 32606205601.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 693749033 + ... + 693749079.

Almost surely, 2^32606205632 is an apocalyptic number.

32606205632 is a gapful number since it is divisible by the number (32) 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 32606205632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48192537600).

32606205632 is an abundant number, since it is smaller than the sum of its proper divisors (63778869568).

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

32606205632 is a wasteful number, since it uses less digits than its factorization.

32606205632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

The spelling of 32606205632 in words is "thirty-two billion, six hundred six million, two hundred five thousand, six hundred thirty-two".