32134768640 has 288 divisors, whose sum is σ = 86329152000. Its totient is φ = 11463229440.

The previous prime is 32134768639. The next prime is 32134768651. The reversal of 32134768640 is 4686743123.

It is a junction number, because it is equal to n+sod(n) for n = 32134768591 and 32134768600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53647061 + ... + 53647659.

It is an arithmetic number, because the mean of its divisors is an integer number (299754000).

Almost surely, 2^32134768640 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 32134768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43164576000).

32134768640 is an abundant number, since it is smaller than the sum of its proper divisors (54194383360).

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

32134768640 is a wasteful number, since it uses less digits than its factorization.

32134768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 32134768640 in words is "thirty-two billion, one hundred thirty-four million, seven hundred sixty-eight thousand, six hundred forty".