5463441984 has 672 divisors, whose sum is σ = 20548104192. Its totient is φ = 1257984000.

The previous prime is 5463441967. The next prime is 5463442007. The reversal of 5463441984 is 4891443645.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41705599 + ... + 41705729.

It is an arithmetic number, because the mean of its divisors is an integer number (30577536).

Almost surely, 2^5463441984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5463441984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10274052096).

5463441984 is an abundant number, since it is smaller than the sum of its proper divisors (15084662208).

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

5463441984 is a wasteful number, since it uses less digits than its factorization.

5463441984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 5463441984 is about 73915.0998375839. The cubic root of 5463441984 is about 1761.2544844100.

The spelling of 5463441984 in words is "five billion, four hundred sixty-three million, four hundred forty-one thousand, nine hundred eighty-four".