63013420800 has 432 divisors, whose sum is σ = 252077199360. Its totient is φ = 15275520000.

The previous prime is 63013420793. The next prime is 63013420801. The reversal of 63013420800 is 802431036.

It is a happy number.

63013420800 is a `hidden beast` number, since 630 + 1 + 3 + 4 + 20 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63013420801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1884225 + ... + 1917375.

Almost surely, 2^63013420800 is an apocalyptic number.

63013420800 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 63013420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126038599680).

63013420800 is an abundant number, since it is smaller than the sum of its proper divisors (189063778560).

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

63013420800 is a wasteful number, since it uses less digits than its factorization.

63013420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33197 (or 33172 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 63013420800 its reverse (802431036), we get a palindrome (63815851836).

The spelling of 63013420800 in words is "sixty-three billion, thirteen million, four hundred twenty thousand, eight hundred".