32282741568 has 224 divisors, whose sum is σ = 107036006400. Its totient is φ = 8342231040.

The previous prime is 32282741567. The next prime is 32282741611. The reversal of 32282741568 is 86514728223.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32282741567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2936530 + ... + 2947502.

Almost surely, 2^32282741568 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 32282741568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53518003200).

32282741568 is an abundant number, since it is smaller than the sum of its proper divisors (74753264832).

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

32282741568 is a wasteful number, since it uses less digits than its factorization.

32282741568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11205 (or 11195 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The spelling of 32282741568 in words is "thirty-two billion, two hundred eighty-two million, seven hundred forty-one thousand, five hundred sixty-eight".