6766549920 has 384 divisors, whose sum is σ = 25879150080. Its totient is φ = 1641185280.

The previous prime is 6766549913. The next prime is 6766549997. The reversal of 6766549920 is 299456676.

6766549920 is a `hidden beast` number, since 6 + 7 + 6 + 6 + 549 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3986512 + ... + 3988208.

It is an arithmetic number, because the mean of its divisors is an integer number (67393620).

Almost surely, 2^6766549920 is an apocalyptic number.

6766549920 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 6766549920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12939575040).

6766549920 is an abundant number, since it is smaller than the sum of its proper divisors (19112600160).

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

6766549920 is a wasteful number, since it uses less digits than its factorization.

6766549920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 6766549920 is about 82259.0415699089. The cubic root of 6766549920 is about 1891.4248766325.

The spelling of 6766549920 in words is "six billion, seven hundred sixty-six million, five hundred forty-nine thousand, nine hundred twenty".