32982442560 has 504 divisors, whose sum is σ = 124296010488. Its totient is φ = 7999488000.

The previous prime is 32982442553. The next prime is 32982442573. The reversal of 32982442560 is 6524428923.

32982442560 is a `hidden beast` number, since 3 + 2 + 9 + 82 + 4 + 4 + 2 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12788895744 + 20193546816 = 113088^2 + 142104^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47050210 + ... + 47050910.

Almost surely, 2^32982442560 is an apocalyptic number.

32982442560 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 32982442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62148005244).

32982442560 is an abundant number, since it is smaller than the sum of its proper divisors (91313567928).

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

32982442560 is a wasteful number, since it uses less digits than its factorization.

32982442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 32982442560 in words is "thirty-two billion, nine hundred eighty-two million, four hundred forty-two thousand, five hundred sixty".