32643264640032 has 54 divisors (see below), whose sum is σ = 92829559551183. Its totient is φ = 10881055893312.

The previous prime is 32643264640003. The next prime is 32643264640043. The reversal of 32643264640032 is 23004646234623.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

32643264640032 is a `hidden beast` number, since 3 + 264 + 326 + 4 + 64 + 0 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16321632320016 + 16321632320016 = 4040004^2 + 4040004^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4040004.

It is a super-2 number, since 2×32643264640032² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32643264640032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96791763 + ... + 97128429.

Almost surely, 2^{32643264640032} is an apocalyptic number.

32643264640032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32643264640032 is an abundant number, since it is smaller than the sum of its proper divisors (60186294911151).

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

32643264640032 is an frugal number, since it uses more digits than its factorization.

32643264640032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673350 (or 336672 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 45.

The spelling of 32643264640032 in words is "thirty-two trillion, six hundred forty-three billion, two hundred sixty-four million, six hundred forty thousand, thirty-two".