32646668229504 has 1152 divisors, whose sum is σ = 117449348889600. Its totient is φ = 8990947123200.

The previous prime is 32646668229503. The next prime is 32646668229563. The reversal of 32646668229504 is 40592286664623.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32646668229503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13276399027 + ... + 13276401485.

It is an arithmetic number, because the mean of its divisors is an integer number (101952559800).

Almost surely, 2^{32646668229504} 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 32646668229504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58724674444800).

32646668229504 is an abundant number, since it is smaller than the sum of its proper divisors (84802680660096).

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

32646668229504 is a wasteful number, since it uses less digits than its factorization.

32646668229504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 63.

The spelling of 32646668229504 in words is "thirty-two trillion, six hundred forty-six billion, six hundred sixty-eight million, two hundred twenty-nine thousand, five hundred four".