63315302400 has 864 divisors, whose sum is σ = 269115275520. Its totient is φ = 14452162560.

The previous prime is 63315302321. The next prime is 63315302419. The reversal of 63315302400 is 420351336.

It is a happy number.

63315302400 is a `hidden beast` number, since 6 + 3 + 315 + 302 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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 71 ways as a sum of consecutive naturals, for example, 87090837 + ... + 87091563.

Almost surely, 2^63315302400 is an apocalyptic number.

63315302400 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 63315302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134557637760).

63315302400 is an abundant number, since it is smaller than the sum of its proper divisors (205799973120).

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

63315302400 is an equidigital number, since it uses as much as digits as its factorization.

63315302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 744 counting only the distinct ones).

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

Adding to 63315302400 its reverse (420351336), we get a palindrome (63735653736).

The spelling of 63315302400 in words is "sixty-three billion, three hundred fifteen million, three hundred two thousand, four hundred".