63936681600 has 384 divisors, whose sum is σ = 237159106560. Its totient is φ = 14999040000.

The previous prime is 63936681593. The next prime is 63936681623. The reversal of 63936681600 is 618663936.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 63936681600.

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 47 ways as a sum of consecutive naturals, for example, 3263835 + ... + 3283365.

It is an arithmetic number, because the mean of its divisors is an integer number (617601840).

Almost surely, 2^63936681600 is an apocalyptic number.

63936681600 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 63936681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118579553280).

63936681600 is an abundant number, since it is smaller than the sum of its proper divisors (173222424960).

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

63936681600 is a wasteful number, since it uses less digits than its factorization.

63936681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19600 (or 19583 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 63936681600 in words is "sixty-three billion, nine hundred thirty-six million, six hundred eighty-one thousand, six hundred".