32782642560 has 384 divisors, whose sum is σ = 120867552000. Its totient is φ = 8163348480.

The previous prime is 32782642537. The next prime is 32782642567. The reversal of 32782642560 is 6524628723.

32782642560 is a `hidden beast` number, since 3 + 2 + 7 + 82 + 6 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32782642567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7768131 + ... + 7772349.

It is an arithmetic number, because the mean of its divisors is an integer number (314759250).

Almost surely, 2^32782642560 is an apocalyptic number.

32782642560 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 32782642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60433776000).

32782642560 is an abundant number, since it is smaller than the sum of its proper divisors (88084909440).

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

32782642560 is a wasteful number, since it uses less digits than its factorization.

32782642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 32782642560 in words is "thirty-two billion, seven hundred eighty-two million, six hundred forty-two thousand, five hundred sixty".