6647680005120 has 3168 divisors, whose sum is σ = 31704548069376. Its totient is φ = 1318212403200.

The previous prime is 6647680005091. The next prime is 6647680005121. The reversal of 6647680005120 is 215000867466.

6647680005120 is a `hidden beast` number, since 6 + 64 + 76 + 8 + 0 + 0 + 0 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-3 number, since 3×6647680005120³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6647680005121) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 15423851305 + ... + 15423851735.

Almost surely, 2^{6647680005120} is an apocalyptic number.

6647680005120 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 6647680005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15852274034688).

6647680005120 is an abundant number, since it is smaller than the sum of its proper divisors (25056868064256).

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

6647680005120 is a wasteful number, since it uses less digits than its factorization.

6647680005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 6647680005120 in words is "six trillion, six hundred forty-seven billion, six hundred eighty million, five thousand, one hundred twenty".