63105090864480 has 576 divisors, whose sum is σ = 247336408545408. Its totient is φ = 14352258170880.

The previous prime is 63105090864451. The next prime is 63105090864481. The reversal of 63105090864480 is 8446809050136.

63105090864480 is a `hidden beast` number, since 6 + 3 + 10 + 5 + 0 + 90 + 8 + 64 + 480 = 666.

It is a super-4 number, since 4×63105090864480⁴ (a number of 56 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63105090864481) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2468790900 + ... + 2468816460.

It is an arithmetic number, because the mean of its divisors is an integer number (429403487058).

Almost surely, 2^{63105090864480} is an apocalyptic number.

63105090864480 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 63105090864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123668204272704).

63105090864480 is an abundant number, since it is smaller than the sum of its proper divisors (184231317680928).

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

63105090864480 is a wasteful number, since it uses less digits than its factorization.

63105090864480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26799 (or 26788 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 63105090864480 in words is "sixty-three trillion, one hundred five billion, ninety million, eight hundred sixty-four thousand, four hundred eighty".