42882545664 has 240 divisors, whose sum is σ = 146389042800. Its totient is φ = 12251824128.

The previous prime is 42882545663. The next prime is 42882545681. The reversal of 42882545664 is 46654528824.

42882545664 is a `hidden beast` number, since 4 + 28 + 8 + 2 + 54 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 42882545664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42882545663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1142752 + ... + 1179680.

It is an arithmetic number, because the mean of its divisors is an integer number (609954345).

Almost surely, 2^42882545664 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 42882545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73194521400).

42882545664 is an abundant number, since it is smaller than the sum of its proper divisors (103506497136).

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

42882545664 is an equidigital number, since it uses as much as digits as its factorization.

42882545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36970 (or 36941 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 42882545664 in words is "forty-two billion, eight hundred eighty-two million, five hundred forty-five thousand, six hundred sixty-four".