32752417509968 has 160 divisors (see below), whose sum is σ = 72962087627520. Its totient is φ = 14109180272640.

The previous prime is 32752417509937. The next prime is 32752417509997. The reversal of 32752417509968 is 86990571425723.

It is a super-2 number, since 2×32752417509968² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a junction number, because it is equal to n+sod(n) for n = 32752417509898 and 32752417509907.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 229694471 + ... + 229837017.

It is an arithmetic number, because the mean of its divisors is an integer number (456013047672).

It is a 1-persistent number, because it is pandigital, but 2⋅32752417509968 = 65504835019936 is not.

Almost surely, 2^{32752417509968} 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 32752417509968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36481043813760).

32752417509968 is an abundant number, since it is smaller than the sum of its proper divisors (40209670117552).

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

32752417509968 is a wasteful number, since it uses less digits than its factorization.

32752417509968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143125 (or 143119 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 68.

The spelling of 32752417509968 in words is "thirty-two trillion, seven hundred fifty-two billion, four hundred seventeen million, five hundred nine thousand, nine hundred sixty-eight".