6720413184 has 200 divisors, whose sum is σ = 20228122728. Its totient is φ = 2221240320.

The previous prime is 6720413177. The next prime is 6720413201. The reversal of 6720413184 is 4813140276.

6720413184 is a `hidden beast` number, since 67 + 2 + 0 + 413 + 184 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 5432214 + ... + 5433450.

Almost surely, 2^6720413184 is an apocalyptic number.

6720413184 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 6720413184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10114061364).

6720413184 is an abundant number, since it is smaller than the sum of its proper divisors (13507709544).

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

6720413184 is a wasteful number, since it uses less digits than its factorization.

6720413184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6720413184 is about 81978.1262532878. The cubic root of 6720413184 is about 1887.1162674385.

It can be divided in two parts, 6720 and 413184, that added together give a square (419904 = 648²).

The spelling of 6720413184 in words is "six billion, seven hundred twenty million, four hundred thirteen thousand, one hundred eighty-four".