32960950912656 has 320 divisors, whose sum is σ = 104832867767040. Its totient is φ = 9850865725440.

The previous prime is 32960950912649. The next prime is 32960950912709. The reversal of 32960950912656 is 65621905906923.

32960950912656 is a `hidden beast` number, since 3 + 2 + 9 + 60 + 9 + 509 + 1 + 2 + 65 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 32960950912593 and 32960950912602.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51952806 + ... + 52583418.

It is an arithmetic number, because the mean of its divisors is an integer number (327602711772).

Almost surely, 2^{32960950912656} is an apocalyptic number.

32960950912656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32960950912656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52416433883520).

32960950912656 is an abundant number, since it is smaller than the sum of its proper divisors (71871916854384).

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

32960950912656 is a wasteful number, since it uses less digits than its factorization.

32960950912656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630911 (or 630899 counting only the distinct ones).

The product of its (nonzero) digits is 47239200, while the sum is 63.

The spelling of 32960950912656 in words is "thirty-two trillion, nine hundred sixty billion, nine hundred fifty million, nine hundred twelve thousand, six hundred fifty-six".