63684736960 has 112 divisors (see below), whose sum is σ = 164999310336. Its totient is φ = 23271800832.

The previous prime is 63684736957. The next prime is 63684736967. The reversal of 63684736960 is 6963748636.

It is a junction number, because it is equal to n+sod(n) for n = 63684736895 and 63684736904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63684736967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324609 + ... + 482431.

It is an arithmetic number, because the mean of its divisors is an integer number (1473208128).

Almost surely, 2^63684736960 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 63684736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82499655168).

63684736960 is an abundant number, since it is smaller than the sum of its proper divisors (101314573376).

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

63684736960 is a wasteful number, since it uses less digits than its factorization.

63684736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157950 (or 157940 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 58.

The spelling of 63684736960 in words is "sixty-three billion, six hundred eighty-four million, seven hundred thirty-six thousand, nine hundred sixty".