63503312040 has 768 divisors, whose sum is σ = 253380960000. Its totient is φ = 14101807104.

The previous prime is 63503312003. The next prime is 63503312051. The reversal of 63503312040 is 4021330536.

It is a happy number.

63503312040 is a `hidden beast` number, since 635 + 0 + 3 + 3 + 1 + 20 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 63503311995 and 63503312013.

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 191 ways as a sum of consecutive naturals, for example, 456858291 + ... + 456858429.

It is an arithmetic number, because the mean of its divisors is an integer number (329923125).

Almost surely, 2^63503312040 is an apocalyptic number.

63503312040 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 63503312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126690480000).

63503312040 is an abundant number, since it is smaller than the sum of its proper divisors (189877647960).

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

63503312040 is a wasteful number, since it uses less digits than its factorization.

63503312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 63503312040 its reverse (4021330536), we get a palindrome (67524642576).

The spelling of 63503312040 in words is "sixty-three billion, five hundred three million, three hundred twelve thousand, forty".