63606340224 has 288 divisors, whose sum is σ = 213327927540. Its totient is φ = 18138193920.

The previous prime is 63606340211. The next prime is 63606340247. The reversal of 63606340224 is 42204360636.

63606340224 is a `hidden beast` number, since 6 + 3 + 606 + 3 + 40 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63588700224 + 17640000 = 252168^2 + 4200^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48149484 + ... + 48150804.

Almost surely, 2^63606340224 is an apocalyptic number.

63606340224 is a gapful number since it is divisible by the number (64) 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 63606340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106663963770).

63606340224 is an abundant number, since it is smaller than the sum of its proper divisors (149721587316).

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

63606340224 is a wasteful number, since it uses less digits than its factorization.

63606340224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 63606340224 in words is "sixty-three billion, six hundred six million, three hundred forty thousand, two hundred twenty-four".