32128696320 has 816 divisors, whose sum is σ = 129099692160. Its totient is φ = 6782189568.

The previous prime is 32128696319. The next prime is 32128696331. The reversal of 32128696320 is 2369682123.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1107886066 + ... + 1107886094.

Almost surely, 2^32128696320 is an apocalyptic number.

32128696320 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 32128696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64549846080).

32128696320 is an abundant number, since it is smaller than the sum of its proper divisors (96970995840).

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

32128696320 is an equidigital number, since it uses as much as digits as its factorization.

32128696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 32128696320 in words is "thirty-two billion, one hundred twenty-eight million, six hundred ninety-six thousand, three hundred twenty".