32097320640 has 2016 divisors, whose sum is σ = 156112220160. Its totient is φ = 5960908800.

The previous prime is 32097320569. The next prime is 32097320641. The reversal of 32097320640 is 4602379023.

It is a happy number.

32097320640 is a `hidden beast` number, since 3 + 2 + 0 + 9 + 7 + 3 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32097320595 and 32097320604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32097320641) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1035397425 + ... + 1035397455.

Almost surely, 2^32097320640 is an apocalyptic number.

32097320640 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 32097320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78056110080).

32097320640 is an abundant number, since it is smaller than the sum of its proper divisors (124014899520).

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

32097320640 is a wasteful number, since it uses less digits than its factorization.

32097320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Adding to 32097320640 its reverse (4602379023), we get a palindrome (36699699663).

The spelling of 32097320640 in words is "thirty-two billion, ninety-seven million, three hundred twenty thousand, six hundred forty".