63978677687936 has 256 divisors, whose sum is σ = 145372586716800. Its totient is φ = 27779512320000.

The previous prime is 63978677687933. The next prime is 63978677687959.

63978677687936 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×63978677687936³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (63978677687933) 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 31 ways as a sum of consecutive naturals, for example, 6313887926 + ... + 6313898058.

Almost surely, 2^{63978677687936} 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 63978677687936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72686293358400).

63978677687936 is an abundant number, since it is smaller than the sum of its proper divisors (81393909028864).

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

63978677687936 is a wasteful number, since it uses less digits than its factorization.

63978677687936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11819 (or 11807 counting only the distinct ones).

The product of its digits is 145179288576, while the sum is 92.

The spelling of 63978677687936 in words is "sixty-three trillion, nine hundred seventy-eight billion, six hundred seventy-seven million, six hundred eighty-seven thousand, nine hundred thirty-six".