32065964638488 has 512 divisors, whose sum is σ = 99516756556800. Its totient is φ = 9604273835520.

The previous prime is 32065964638471. The next prime is 32065964638529. The reversal of 32065964638488 is 88483646956023.

32065964638488 is a `hidden beast` number, since 3 + 2 + 0 + 6 + 5 + 9 + 6 + 463 + 84 + 88 = 666.

It is a super-2 number, since 2×32065964638488² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 5952468931 + ... + 5952474317.

It is an arithmetic number, because the mean of its divisors is an integer number (194368665150).

Almost surely, 2^{32065964638488} 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 32065964638488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49758378278400).

32065964638488 is an abundant number, since it is smaller than the sum of its proper divisors (67450791918312).

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

32065964638488 is a wasteful number, since it uses less digits than its factorization.

32065964638488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5779 (or 5757 counting only the distinct ones).

The product of its (nonzero) digits is 1433272320, while the sum is 72.

The spelling of 32065964638488 in words is "thirty-two trillion, sixty-five billion, nine hundred sixty-four million, six hundred thirty-eight thousand, four hundred eighty-eight".