63338198676480 has 3168 divisors, whose sum is σ = 287175686563584. Its totient is φ = 13306309115904.

The previous prime is 63338198676479. The next prime is 63338198676491. The reversal of 63338198676480 is 8467689183336.

63338198676480 is a `hidden beast` number, since 6 + 3 + 3 + 3 + 81 + 9 + 8 + 67 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 63338198676399 and 63338198676408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 271837762444 + ... + 271837762676.

Almost surely, 2^{63338198676480} is an apocalyptic number.

63338198676480 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 63338198676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143587843281792).

63338198676480 is an abundant number, since it is smaller than the sum of its proper divisors (223837487887104).

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

63338198676480 is an frugal number, since it uses more digits than its factorization.

63338198676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 63338198676480 in words is "sixty-three trillion, three hundred thirty-eight billion, one hundred ninety-eight million, six hundred seventy-six thousand, four hundred eighty".