6786443664 has 720 divisors, whose sum is σ = 26957024640. Its totient is φ = 1538887680.

The previous prime is 6786443663. The next prime is 6786443747. The reversal of 6786443664 is 4663446876.

6786443664 is a `hidden beast` number, since 67 + 86 + 443 + 6 + 64 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6786443664.

It is not an unprimeable number, because it can be changed into a prime (6786443663) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76252132 + ... + 76252220.

It is an arithmetic number, because the mean of its divisors is an integer number (37440312).

Almost surely, 2^6786443664 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 6786443664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13478512320).

6786443664 is an abundant number, since it is smaller than the sum of its proper divisors (20170580976).

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

6786443664 is a wasteful number, since it uses less digits than its factorization.

6786443664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 148 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The square root of 6786443664 is about 82379.8741441136. The cubic root of 6786443664 is about 1893.2766675606.

The spelling of 6786443664 in words is "six billion, seven hundred eighty-six million, four hundred forty-three thousand, six hundred sixty-four".