63771108960 has 288 divisors, whose sum is σ = 218027593728. Its totient is φ = 15660902400.

The previous prime is 63771108889. The next prime is 63771108977. The reversal of 63771108960 is 6980117736.

It is a happy number.

63771108960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55404385 + ... + 55405535.

It is an arithmetic number, because the mean of its divisors is an integer number (757040256).

Almost surely, 2^63771108960 is an apocalyptic number.

63771108960 is a gapful number since it is divisible by the number (60) 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 63771108960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109013796864).

63771108960 is an abundant number, since it is smaller than the sum of its proper divisors (154256484768).

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

63771108960 is a wasteful number, since it uses less digits than its factorization.

63771108960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 63771108960 in words is "sixty-three billion, seven hundred seventy-one million, one hundred eight thousand, nine hundred sixty".