32091816960 has 792 divisors, whose sum is σ = 132036756696. Its totient is φ = 7184056320.

The previous prime is 32091816941. The next prime is 32091816971. The reversal of 32091816960 is 6961819023.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 618218496 + 31473598464 = 24864^2 + 177408^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 137733004 + ... + 137733236.

Almost surely, 2^32091816960 is an apocalyptic number.

32091816960 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 32091816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66018378348).

32091816960 is an abundant number, since it is smaller than the sum of its proper divisors (99944939736).

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

32091816960 is a wasteful number, since it uses less digits than its factorization.

32091816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 311 counting only the distinct ones).

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

The spelling of 32091816960 in words is "thirty-two billion, ninety-one million, eight hundred sixteen thousand, nine hundred sixty".