63445122720 has 288 divisors, whose sum is σ = 256601374848. Its totient is φ = 14501680128.

The previous prime is 63445122707. The next prime is 63445122721. The reversal of 63445122720 is 2722154436.

63445122720 is a `hidden beast` number, since 63 + 44 + 512 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (63445122721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155602 + ... + 388718.

It is an arithmetic number, because the mean of its divisors is an integer number (890976996).

Almost surely, 2^63445122720 is an apocalyptic number.

63445122720 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 63445122720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128300687424).

63445122720 is an abundant number, since it is smaller than the sum of its proper divisors (193156252128).

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

63445122720 is a wasteful number, since it uses less digits than its factorization.

63445122720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233154 (or 233134 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 63445122720 in words is "sixty-three billion, four hundred forty-five million, one hundred twenty-two thousand, seven hundred twenty".