63381868200 has 960 divisors, whose sum is σ = 276553728000. Its totient is φ = 13117800960.

The previous prime is 63381868103. The next prime is 63381868201. The reversal of 63381868200 is 286818336.

63381868200 is a `hidden beast` number, since 6 + 3 + 381 + 8 + 68 + 200 = 666.

63381868200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×63381868200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (63381868201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 49555161 + ... + 49556439.

It is an arithmetic number, because the mean of its divisors is an integer number (288076800).

Almost surely, 2^63381868200 is an apocalyptic number.

63381868200 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 63381868200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138276864000).

63381868200 is an abundant number, since it is smaller than the sum of its proper divisors (213171859800).

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

63381868200 is a wasteful number, since it uses less digits than its factorization.

63381868200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 63381868200 in words is "sixty-three billion, three hundred eighty-one million, eight hundred sixty-eight thousand, two hundred".