63823656960 has 1152 divisors, whose sum is σ = 274743705600. Its totient is φ = 13377208320.

The previous prime is 63823656893. The next prime is 63823656977. The reversal of 63823656960 is 6965632836.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 63823656897 and 63823656906.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 502548417 + ... + 502548543.

It is an arithmetic number, because the mean of its divisors is an integer number (238492800).

Almost surely, 2^63823656960 is an apocalyptic number.

63823656960 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 63823656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137371852800).

63823656960 is an abundant number, since it is smaller than the sum of its proper divisors (210920048640).

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

63823656960 is a wasteful number, since it uses less digits than its factorization.

63823656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 63823656960 in words is "sixty-three billion, eight hundred twenty-three million, six hundred fifty-six thousand, nine hundred sixty".