32761871712 has 120 divisors (see below), whose sum is σ = 96407105256. Its totient is φ = 10914352128.

The previous prime is 32761871693. The next prime is 32761871717. The reversal of 32761871712 is 21717816723.

32761871712 is a `hidden beast` number, since 3 + 2 + 7 + 618 + 7 + 17 + 12 = 666.

It is a super-5 number, since 5×32761871712⁵ (a number of 54 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32761871717) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7506843 + ... + 7511205.

Almost surely, 2^32761871712 is an apocalyptic number.

32761871712 is a gapful number since it is divisible by the number (32) 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 32761871712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48203552628).

32761871712 is an abundant number, since it is smaller than the sum of its proper divisors (63645233544).

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

32761871712 is a wasteful number, since it uses less digits than its factorization.

32761871712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7282 (or 7265 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The spelling of 32761871712 in words is "thirty-two billion, seven hundred sixty-one million, eight hundred seventy-one thousand, seven hundred twelve".