6672791664 has 480 divisors, whose sum is σ = 24958402560. Its totient is φ = 1674950400.

The previous prime is 6672791641. The next prime is 6672791681. The reversal of 6672791664 is 4661972766.

It is a super-2 number, since 2×6672791664² = 89052297182295777792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 6672791664.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9280297 + ... + 9281015.

It is an arithmetic number, because the mean of its divisors is an integer number (51996672).

Almost surely, 2^6672791664 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 6672791664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12479201280).

6672791664 is an abundant number, since it is smaller than the sum of its proper divisors (18285610896).

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

6672791664 is a wasteful number, since it uses less digits than its factorization.

6672791664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 773 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 6672791664 is about 81687.1572770163. The cubic root of 6672791664 is about 1882.6482656512.

The spelling of 6672791664 in words is "six billion, six hundred seventy-two million, seven hundred ninety-one thousand, six hundred sixty-four".