32961091680 has 144 divisors (see below), whose sum is σ = 122705213904. Its totient is φ = 7990563840.

The previous prime is 32961091673. The next prime is 32961091741. The reversal of 32961091680 is 8619016923.

It is a happy number.

32961091680 is a `hidden beast` number, since 3 + 29 + 610 + 9 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1024599 + ... + 1056278.

It is an arithmetic number, because the mean of its divisors is an integer number (852119541).

Almost surely, 2^32961091680 is an apocalyptic number.

32961091680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32961091680 is an abundant number, since it is smaller than the sum of its proper divisors (89744122224).

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

32961091680 is a wasteful number, since it uses less digits than its factorization.

32961091680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080909 (or 2080898 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 32961091680 in words is "thirty-two billion, nine hundred sixty-one million, ninety-one thousand, six hundred eighty".