63685440000 has 1600 divisors, whose sum is σ = 293507047680. Its totient is φ = 13436928000.

The previous prime is 63685439963. The next prime is 63685440017. The reversal of 63685440000 is 4458636.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 4898879994 + ... + 4898880006.

Almost surely, 2^63685440000 is an apocalyptic number.

63685440000 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 63685440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146753523840).

63685440000 is an abundant number, since it is smaller than the sum of its proper divisors (229821607680).

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

63685440000 is an frugal number, since it uses more digits than its factorization.

63685440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 63685440000 its reverse (4458636), we get a palindrome (63689898636).

The spelling of 63685440000 in words is "sixty-three billion, six hundred eighty-five million, four hundred forty thousand".