32097342960 has 320 divisors, whose sum is σ = 120135168000. Its totient is φ = 7846917120.

The previous prime is 32097342931. The next prime is 32097342989. The reversal of 32097342960 is 6924379023.

32097342960 is a `hidden beast` number, since 320 + 9 + 7 + 34 + 296 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (32097342931) and next prime (32097342989).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1259626 + ... + 1284854.

It is an arithmetic number, because the mean of its divisors is an integer number (375422400).

Almost surely, 2^32097342960 is an apocalyptic number.

32097342960 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 32097342960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60067584000).

32097342960 is an abundant number, since it is smaller than the sum of its proper divisors (88037825040).

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

32097342960 is a wasteful number, since it uses less digits than its factorization.

32097342960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25301 (or 25289 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 32097342960 in words is "thirty-two billion, ninety-seven million, three hundred forty-two thousand, nine hundred sixty".