63643933440 has 288 divisors, whose sum is σ = 226422383040. Its totient is φ = 16928538624.

The previous prime is 63643933417. The next prime is 63643933487. The reversal of 63643933440 is 4433934636.

63643933440 is a `hidden beast` number, since 63 + 64 + 3 + 93 + 3 + 440 = 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 (45).

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 31 ways as a sum of consecutive naturals, for example, 14962354 + ... + 14966606.

It is an arithmetic number, because the mean of its divisors is an integer number (786188830).

Almost surely, 2^63643933440 is an apocalyptic number.

63643933440 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 63643933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113211191520).

63643933440 is an abundant number, since it is smaller than the sum of its proper divisors (162778449600).

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

63643933440 is a wasteful number, since it uses less digits than its factorization.

63643933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 45.

The spelling of 63643933440 in words is "sixty-three billion, six hundred forty-three million, nine hundred thirty-three thousand, four hundred forty".