63000201600 has 1152 divisors, whose sum is σ = 280299916800. Its totient is φ = 13752668160.

The previous prime is 63000201599. The next prime is 63000201643. The reversal of 63000201600 is 610200036.

It is a happy number.

63000201600 is a `hidden beast` number, since 63 + 0 + 0 + 0 + 2 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97372477 + ... + 97373123.

It is an arithmetic number, because the mean of its divisors is an integer number (243315900).

Almost surely, 2^63000201600 is an apocalyptic number.

63000201600 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 63000201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140149958400).

63000201600 is an abundant number, since it is smaller than the sum of its proper divisors (217299715200).

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

63000201600 is a wasteful number, since it uses less digits than its factorization.

63000201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 63000201600 its reverse (610200036), we get a palindrome (63610401636).

The spelling of 63000201600 in words is "sixty-three billion, two hundred one thousand, six hundred".