63742544524736 has 112 divisors (see below), whose sum is σ = 157703719461120. Its totient is φ = 24834283806720.

The previous prime is 63742544524733. The next prime is 63742544524741.

It is a happy number.

63742544524736 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×63742544524736² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63742544524733) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372170576 + ... + 372341808.

It is an arithmetic number, because the mean of its divisors is an integer number (1408068923760).

Almost surely, 2^{63742544524736} is an apocalyptic number.

It is an amenable number.

63742544524736 is an abundant number, since it is smaller than the sum of its proper divisors (93961174936384).

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

63742544524736 is a wasteful number, since it uses less digits than its factorization.

63742544524736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246802 (or 246792 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 62.

The spelling of 63742544524736 in words is "sixty-three trillion, seven hundred forty-two billion, five hundred forty-four million, five hundred twenty-four thousand, seven hundred thirty-six".