63087468800 has 216 divisors, whose sum is σ = 161758787400. Its totient is φ = 24344985600.

The previous prime is 63087468799. The next prime is 63087468803. The reversal of 63087468800 is 886478036.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 41602945024 + 21484523776 = 203968^2 + 146576^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (63087468803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20689676 + ... + 20692724.

It is an arithmetic number, because the mean of its divisors is an integer number (748883275).

Almost surely, 2^63087468800 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 63087468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80879393700).

63087468800 is an abundant number, since it is smaller than the sum of its proper divisors (98671318600).

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

63087468800 is a wasteful number, since it uses less digits than its factorization.

63087468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 63087468800 in words is "sixty-three billion, eighty-seven million, four hundred sixty-eight thousand, eight hundred".