42559680768 has 288 divisors, whose sum is σ = 128465498112. Its totient is φ = 12391833600.

The previous prime is 42559680763. The next prime is 42559680827. The reversal of 42559680768 is 86708695524.

It is a super-2 number, since 2×42559680768² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42559680763) 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, 42687246 + ... + 42688242.

Almost surely, 2^42559680768 is an apocalyptic number.

42559680768 is a gapful number since it is divisible by the number (48) 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 42559680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64232749056).

42559680768 is an abundant number, since it is smaller than the sum of its proper divisors (85905817344).

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

42559680768 is a wasteful number, since it uses less digits than its factorization.

42559680768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

It can be divided in two parts, 42559 and 680768, that added together give a palindrome (723327).

The spelling of 42559680768 in words is "forty-two billion, five hundred fifty-nine million, six hundred eighty thousand, seven hundred sixty-eight".