6684784933680 has 360 divisors, whose sum is σ = 26320646656512. Its totient is φ = 1515918716928.

The previous prime is 6684784933667. The next prime is 6684784933681. The reversal of 6684784933680 is 863394874866.

6684784933680 is a `hidden beast` number, since 6 + 6 + 8 + 4 + 78 + 493 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×6684784933680³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6684784933599 and 6684784933608.

It is not an unprimeable number, because it can be changed into a prime (6684784933681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3734584 + ... + 5226536.

Almost surely, 2^{6684784933680} is an apocalyptic number.

6684784933680 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 6684784933680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13160323328256).

6684784933680 is an abundant number, since it is smaller than the sum of its proper divisors (19635861722832).

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

6684784933680 is a wasteful number, since it uses less digits than its factorization.

6684784933680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492113 (or 1492097 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 6684784933680 in words is "six trillion, six hundred eighty-four billion, seven hundred eighty-four million, nine hundred thirty-three thousand, six hundred eighty".