63681604224 has 192 divisors, whose sum is σ = 199266710400. Its totient is φ = 17964011520.

The previous prime is 63681604117. The next prime is 63681604237. The reversal of 63681604224 is 42240618636.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1465044 + ... + 1507884.

It is an arithmetic number, because the mean of its divisors is an integer number (1037847450).

Almost surely, 2^63681604224 is an apocalyptic number.

63681604224 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 63681604224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99633355200).

63681604224 is an abundant number, since it is smaller than the sum of its proper divisors (135585106176).

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

63681604224 is a wasteful number, since it uses less digits than its factorization.

63681604224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42951 (or 42932 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 63681604224 in words is "sixty-three billion, six hundred eighty-one million, six hundred four thousand, two hundred twenty-four".