32068864641120 has 192 divisors, whose sum is σ = 103178956446720. Its totient is φ = 8368712941568.

The previous prime is 32068864641119. The next prime is 32068864641127. The reversal of 32068864641120 is 2114646886023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32068864641127) 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, 191969791 + ... + 192136769.

It is an arithmetic number, because the mean of its divisors is an integer number (537390398160).

Almost surely, 2^{32068864641120} is an apocalyptic number.

32068864641120 is a gapful number since it is divisible by the number (30) 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 32068864641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51589478223360).

32068864641120 is an abundant number, since it is smaller than the sum of its proper divisors (71110091805600).

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

32068864641120 is a wasteful number, since it uses less digits than its factorization.

32068864641120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175557 (or 175549 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 32068864641120 in words is "thirty-two trillion, sixty-eight billion, eight hundred sixty-four million, six hundred forty-one thousand, one hundred twenty".