63355468800 has 1056 divisors, whose sum is σ = 245624279040. Its totient is φ = 14273740800.

The previous prime is 63355468751. The next prime is 63355468843. The reversal of 63355468800 is 886455336.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 63355468800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 711859156 + ... + 711859244.

Almost surely, 2^63355468800 is an apocalyptic number.

63355468800 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 63355468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122812139520).

63355468800 is an abundant number, since it is smaller than the sum of its proper divisors (182268810240).

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

63355468800 is a wasteful number, since it uses less digits than its factorization.

63355468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 63355468800 in words is "sixty-three billion, three hundred fifty-five million, four hundred sixty-eight thousand, eight hundred".