63300048000 has 512 divisors, whose sum is σ = 250274119680. Its totient is φ = 13837824000.

The previous prime is 63300047953. The next prime is 63300048011. The reversal of 63300048000 is 84000336.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 7723905 + ... + 7732095.

It is an arithmetic number, because the mean of its divisors is an integer number (488816640).

Almost surely, 2^63300048000 is an apocalyptic number.

63300048000 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 63300048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125137059840).

63300048000 is an abundant number, since it is smaller than the sum of its proper divisors (186974071680).

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

63300048000 is a wasteful number, since it uses less digits than its factorization.

63300048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8253 (or 8231 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 63300048000 its reverse (84000336), we get a palindrome (63384048336).

The spelling of 63300048000 in words is "sixty-three billion, three hundred million, forty-eight thousand".