42782618880 has 1152 divisors, whose sum is σ = 173775974400. Its totient is φ = 10032906240.

The previous prime is 42782618867. The next prime is 42782618939. The reversal of 42782618880 is 8881628724.

42782618880 is a `hidden beast` number, since 427 + 8 + 2 + 61 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1380084465 + ... + 1380084495.

It is an arithmetic number, because the mean of its divisors is an integer number (150847200).

Almost surely, 2^42782618880 is an apocalyptic number.

42782618880 is a gapful number since it is divisible by the number (40) 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 42782618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86887987200).

42782618880 is an abundant number, since it is smaller than the sum of its proper divisors (130993355520).

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

42782618880 is an equidigital number, since it uses as much as digits as its factorization.

42782618880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 42782618880 in words is "forty-two billion, seven hundred eighty-two million, six hundred eighteen thousand, eight hundred eighty".