32766565420032 has 176 divisors, whose sum is σ = 90366431311200. Its totient is φ = 10543221964800.

The previous prime is 32766565419997. The next prime is 32766565420063. The reversal of 32766565420032 is 23002456566723.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426604032 + ... + 426680832.

It is an arithmetic number, because the mean of its divisors is an integer number (513445632450).

Almost surely, 2^{32766565420032} is an apocalyptic number.

32766565420032 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 32766565420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45183215655600).

32766565420032 is an abundant number, since it is smaller than the sum of its proper divisors (57599865891168).

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

32766565420032 is a wasteful number, since it uses less digits than its factorization.

32766565420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81642 (or 81624 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 51.

The spelling of 32766565420032 in words is "thirty-two trillion, seven hundred sixty-six billion, five hundred sixty-five million, four hundred twenty thousand, thirty-two".