63504000000 has 1155 divisors, whose sum is σ = 275741763429. Its totient is φ = 14515200000.

The previous prime is 63503999983. The next prime is 63504000019. The reversal of 63504000000 is 40536.

It is a happy number.

The square root of 63504000000 is 252000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 55635600384 + 7868399616 = 235872^2 + 88704^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 9071999997 + ... + 9072000003.

Almost surely, 2^63504000000 is an apocalyptic number.

63504000000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

63504000000 is the 252000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63504000000

63504000000 is an abundant number, since it is smaller than the sum of its proper divisors (212237763429).

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

63504000000 is an frugal number, since it uses more digits than its factorization.

63504000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 63504000000 its reverse (40536), we get a palindrome (63504040536).

The spelling of 63504000000 in words is "sixty-three billion, five hundred four million", and thus it is an aban number.