32963532072256 has 224 divisors, whose sum is σ = 70456278574080. Its totient is φ = 15247318155264.

The previous prime is 32963532072187. The next prime is 32963532072259. The reversal of 32963532072256 is 65227023536923.

It is a junction number, because it is equal to n+sod(n) for n = 32963532072197 and 32963532072206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32963532072259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6208988130 + ... + 6208993438.

It is an arithmetic number, because the mean of its divisors is an integer number (314536957920).

Almost surely, 2^{32963532072256} 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 32963532072256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35228139287040).

32963532072256 is an abundant number, since it is smaller than the sum of its proper divisors (37492746501824).

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

32963532072256 is a wasteful number, since it uses less digits than its factorization.

32963532072256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5881 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 55.

The spelling of 32963532072256 in words is "thirty-two trillion, nine hundred sixty-three billion, five hundred thirty-two million, seventy-two thousand, two hundred fifty-six".