32965528960 has 512 divisors, whose sum is σ = 105502924800. Its totient is φ = 9565102080.

The previous prime is 32965528909. The next prime is 32965528969. The reversal of 32965528960 is 6982556923.

It is a happy number.

It is a super-2 number, since 2×32965528960² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32965528969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1063404145 + ... + 1063404175.

It is an arithmetic number, because the mean of its divisors is an integer number (206060400).

Almost surely, 2^32965528960 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 32965528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52751462400).

32965528960 is an abundant number, since it is smaller than the sum of its proper divisors (72537395840).

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

32965528960 is an equidigital number, since it uses as much as digits as its factorization.

32965528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 55.

The spelling of 32965528960 in words is "thirty-two billion, nine hundred sixty-five million, five hundred twenty-eight thousand, nine hundred sixty".