32871132720 has 320 divisors, whose sum is σ = 117358202880. Its totient is φ = 8447846400.

The previous prime is 32871132719. The next prime is 32871132743. The reversal of 32871132720 is 2723117823.

32871132720 is a `hidden beast` number, since 328 + 7 + 1 + 1 + 327 + 2 + 0 = 666.

It is a super-2 number, since 2×32871132720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 18814887 + ... + 18816633.

It is an arithmetic number, because the mean of its divisors is an integer number (366744384).

Almost surely, 2^32871132720 is an apocalyptic number.

32871132720 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 32871132720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58679101440).

32871132720 is an abundant number, since it is smaller than the sum of its proper divisors (84487070160).

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

32871132720 is a wasteful number, since it uses less digits than its factorization.

32871132720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 32871132720 in words is "thirty-two billion, eight hundred seventy-one million, one hundred thirty-two thousand, seven hundred twenty".