63438439680 has 1152 divisors, whose sum is σ = 290097561600. Its totient is φ = 12740198400.

The previous prime is 63438439679. The next prime is 63438439699. The reversal of 63438439680 is 8693483436.

63438439680 is a `hidden beast` number, since 6 + 3 + 438 + 43 + 96 + 80 = 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82494336 + ... + 82495104.

It is an arithmetic number, because the mean of its divisors is an integer number (251820800).

Almost surely, 2^63438439680 is an apocalyptic number.

63438439680 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 63438439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145048780800).

63438439680 is an abundant number, since it is smaller than the sum of its proper divisors (226659121920).

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

63438439680 is a wasteful number, since it uses less digits than its factorization.

63438439680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 63438439680 in words is "sixty-three billion, four hundred thirty-eight million, four hundred thirty-nine thousand, six hundred eighty".