63204261120 has 2592 divisors, whose sum is σ = 320611374720. Its totient is φ = 11705057280.

The previous prime is 63204261097. The next prime is 63204261139. The reversal of 63204261120 is 2116240236.

63204261120 is a `hidden beast` number, since 6 + 3 + 2 + 0 + 42 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 2179457266 + ... + 2179457294.

It is an arithmetic number, because the mean of its divisors is an integer number (123692660).

Almost surely, 2^63204261120 is an apocalyptic number.

63204261120 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 63204261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160305687360).

63204261120 is an abundant number, since it is smaller than the sum of its proper divisors (257407113600).

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

63204261120 is a wasteful number, since it uses less digits than its factorization.

63204261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 63204261120 in words is "sixty-three billion, two hundred four million, two hundred sixty-one thousand, one hundred twenty".