63672133754880 has 1512 divisors, whose sum is σ = 272765785902948. Its totient is φ = 13696411631616.

The previous prime is 63672133754849. The next prime is 63672133754921. The reversal of 63672133754880 is 8845733127636.

63672133754880 is a `hidden beast` number, since 6 + 3 + 6 + 7 + 2 + 1 + 3 + 3 + 7 + 548 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 51489464979456 + 12182668775424 = 7175616^2 + 3490368^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5220304942 + ... + 5220317138.

Almost surely, 2^{63672133754880} is an apocalyptic number.

63672133754880 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 63672133754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136382892951474).

63672133754880 is an abundant number, since it is smaller than the sum of its proper divisors (209093652148068).

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

63672133754880 is a wasteful number, since it uses less digits than its factorization.

63672133754880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12282 (or 12231 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 63672133754880 in words is "sixty-three trillion, six hundred seventy-two billion, one hundred thirty-three million, seven hundred fifty-four thousand, eight hundred eighty".