63689601024000 has 4096 divisors, whose sum is σ = 290509839360000. Its totient is φ = 13733933875200.

The previous prime is 63689601023887. The next prime is 63689601024013. The reversal of 63689601024000 is 42010698636.

63689601024000 is a `hidden beast` number, since 6 + 3 + 6 + 89 + 60 + 102 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4096).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 872460287964 + ... + 872460288036.

It is an arithmetic number, because the mean of its divisors is an integer number (70925253750).

Almost surely, 2^{63689601024000} is an apocalyptic number.

63689601024000 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 63689601024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145254919680000).

63689601024000 is an abundant number, since it is smaller than the sum of its proper divisors (226820238336000).

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

63689601024000 is an frugal number, since it uses more digits than its factorization.

63689601024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 63689601024000 in words is "sixty-three trillion, six hundred eighty-nine billion, six hundred one million, twenty-four thousand".