63089866363680 has 432 divisors, whose sum is σ = 235532670707880. Its totient is φ = 15369706340352.

The previous prime is 63089866363649. The next prime is 63089866363687. The reversal of 63089866363680 is 8636366898036.

63089866363680 is a `hidden beast` number, since 6 + 30 + 89 + 86 + 6 + 363 + 6 + 80 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 462079095696 + 62627787267984 = 679764^2 + 7913772^2 .

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 = 63089866363599 and 63089866363608.

It is not an unprimeable number, because it can be changed into a prime (63089866363687) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 22269606 + ... + 24942234.

Almost surely, 2^{63089866363680} is an apocalyptic number.

63089866363680 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 63089866363680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117766335353940).

63089866363680 is an abundant number, since it is smaller than the sum of its proper divisors (172442804344200).

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

63089866363680 is a wasteful number, since it uses less digits than its factorization.

63089866363680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672773 (or 2672749 counting only the distinct ones).

The product of its (nonzero) digits is 967458816, while the sum is 72.

The spelling of 63089866363680 in words is "sixty-three trillion, eighty-nine billion, eight hundred sixty-six million, three hundred sixty-three thousand, six hundred eighty".