63220457414400 has 1728 divisors, whose sum is σ = 257116699478016. Its totient is φ = 13470990336000.

The previous prime is 63220457414399. The next prime is 63220457414449. The reversal of 63220457414400 is 441475402236.

It is a happy number.

63220457414400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4774591780 + ... + 4774605020.

It is an arithmetic number, because the mean of its divisors is an integer number (148794386272).

Almost surely, 2^{63220457414400} is an apocalyptic number.

63220457414400 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 63220457414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128558349739008).

63220457414400 is an abundant number, since it is smaller than the sum of its proper divisors (193896242063616).

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

63220457414400 is a wasteful number, since it uses less digits than its factorization.

63220457414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13378 (or 13359 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 63220457414400 in words is "sixty-three trillion, two hundred twenty billion, four hundred fifty-seven million, four hundred fourteen thousand, four hundred".