32875951680 has 1344 divisors, whose sum is σ = 143019475200. Its totient is φ = 7055769600.

The previous prime is 32875951663. The next prime is 32875951681. The reversal of 32875951680 is 8615957823.

32875951680 is a `hidden beast` number, since 32 + 8 + 7 + 595 + 16 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (32875951681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 557219491 + ... + 557219549.

It is an arithmetic number, because the mean of its divisors is an integer number (106413300).

Almost surely, 2^32875951680 is an apocalyptic number.

32875951680 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 32875951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71509737600).

32875951680 is an abundant number, since it is smaller than the sum of its proper divisors (110143523520).

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

32875951680 is a wasteful number, since it uses less digits than its factorization.

32875951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 32875951680 in words is "thirty-two billion, eight hundred seventy-five million, nine hundred fifty-one thousand, six hundred eighty".