5463819648000 has 2112 divisors, whose sum is σ = 23815933839360. Its totient is φ = 1177583616000.

The previous prime is 5463819647981. The next prime is 5463819648011. The reversal of 5463819648000 is 8469183645.

5463819648000 is a `hidden beast` number, since 5 + 46 + 38 + 1 + 96 + 480 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 16507007835 + ... + 16507008165.

Almost surely, 2^{5463819648000} is an apocalyptic number.

5463819648000 is a gapful number since it is divisible by the number (50) 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 5463819648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11907966919680).

5463819648000 is an abundant number, since it is smaller than the sum of its proper divisors (18352114191360).

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

5463819648000 is a wasteful number, since it uses less digits than its factorization.

5463819648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 460 counting only the distinct ones).

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

The spelling of 5463819648000 in words is "five trillion, four hundred sixty-three billion, eight hundred nineteen million, six hundred forty-eight thousand".