32105299968 has 352 divisors, whose sum is σ = 110058510720. Its totient is φ = 9172942848.

The previous prime is 32105299873. The next prime is 32105299991. The reversal of 32105299968 is 86999250123.

It is a happy number.

32105299968 is a `hidden beast` number, since 3 + 21 + 0 + 529 + 9 + 96 + 8 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=7, B=24.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4586471421 + ... + 4586471427.

Almost surely, 2^32105299968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32105299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55029255360).

32105299968 is an abundant number, since it is smaller than the sum of its proper divisors (77953210752).

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

32105299968 is an frugal number, since it uses more digits than its factorization.

32105299968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 32105299968 in words is "thirty-two billion, one hundred five million, two hundred ninety-nine thousand, nine hundred sixty-eight".