63989438400 has 336 divisors, whose sum is σ = 233649926400. Its totient is φ = 17035729920.

The previous prime is 63989438371. The next prime is 63989438417. The reversal of 63989438400 is 483498936.

It is a happy number.

63989438400 is a `hidden beast` number, since 63 + 98 + 94 + 3 + 8 + 400 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48512941 + ... + 48514259.

Almost surely, 2^63989438400 is an apocalyptic number.

63989438400 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 63989438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116824963200).

63989438400 is an abundant number, since it is smaller than the sum of its proper divisors (169660488000).

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

63989438400 is a wasteful number, since it uses less digits than its factorization.

63989438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 63989438400 in words is "sixty-three billion, nine hundred eighty-nine million, four hundred thirty-eight thousand, four hundred".