42636063624 has 256 divisors, whose sum is σ = 134479872000. Its totient is φ = 10942905600.

The previous prime is 42636063611. The next prime is 42636063629.

42636063624 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (42636063629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70240329 + ... + 70240935.

It is an arithmetic number, because the mean of its divisors is an integer number (525312000).

Almost surely, 2^42636063624 is an apocalyptic number.

42636063624 is a gapful number since it is divisible by the number (44) 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 42636063624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67239936000).

42636063624 is an abundant number, since it is smaller than the sum of its proper divisors (91843808376).

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

42636063624 is a wasteful number, since it uses less digits than its factorization.

42636063624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

It can be divided in two parts, 426360 and 63624, that added together give a palindrome (489984).

The spelling of 42636063624 in words is "forty-two billion, six hundred thirty-six million, sixty-three thousand, six hundred twenty-four".