6554038224384 has 480 divisors, whose sum is σ = 21823072567296. Its totient is φ = 1854833541120.

The previous prime is 6554038224289. The next prime is 6554038224439. The reversal of 6554038224384 is 4834228304556.

6554038224384 is a `hidden beast` number, since 6 + 5 + 5 + 4 + 0 + 38 + 224 + 384 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6554038224384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4182537969 + ... + 4182539535.

Almost surely, 2^{6554038224384} is an apocalyptic number.

6554038224384 is a gapful number since it is divisible by the number (64) 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 6554038224384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10911536283648).

6554038224384 is an abundant number, since it is smaller than the sum of its proper divisors (15269034342912).

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

6554038224384 is a wasteful number, since it uses less digits than its factorization.

6554038224384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 6554038224384 in words is "six trillion, five hundred fifty-four billion, thirty-eight million, two hundred twenty-four thousand, three hundred eighty-four".