63768702144 has 112 divisors (see below), whose sum is σ = 193537043456. Its totient is φ = 18152294400.

The previous prime is 63768702143. The next prime is 63768702157. The reversal of 63768702144 is 44120786736.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 63768702093 and 63768702102.

It is not an unprimeable number, because it can be changed into a prime (63768702143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276684 + ... + 451764.

Almost surely, 2^63768702144 is an apocalyptic number.

63768702144 is a gapful number since it is divisible by the number (64) 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 63768702144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768521728).

63768702144 is an abundant number, since it is smaller than the sum of its proper divisors (129768341312).

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

63768702144 is a wasteful number, since it uses less digits than its factorization.

63768702144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175374 (or 175364 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 63768702144 in words is "sixty-three billion, seven hundred sixty-eight million, seven hundred two thousand, one hundred forty-four".