6678705180672 has 624 divisors, whose sum is σ = 23333443519680. Its totient is φ = 1881950257152.

The previous prime is 6678705180671. The next prime is 6678705180701. The reversal of 6678705180672 is 2760815078766.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6678705180671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395579143 + ... + 395596025.

Almost surely, 2^{6678705180672} 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 6678705180672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11666721759840).

6678705180672 is an abundant number, since it is smaller than the sum of its proper divisors (16654738339008).

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

6678705180672 is a wasteful number, since it uses less digits than its factorization.

6678705180672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17003 (or 16968 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 6678705180672 in words is "six trillion, six hundred seventy-eight billion, seven hundred five million, one hundred eighty thousand, six hundred seventy-two".