6766784640 has 1152 divisors, whose sum is σ = 31321180800. Its totient is φ = 1313832960.

The previous prime is 6766784639. The next prime is 6766784641. The reversal of 6766784640 is 464876676.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6766784639) and next prime (6766784641).

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (6766784641) 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 143 ways as a sum of consecutive naturals, for example, 92695644 + ... + 92695716.

It is an arithmetic number, because the mean of its divisors is an integer number (27188525).

Almost surely, 2^6766784640 is an apocalyptic number.

6766784640 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 6766784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15660590400).

6766784640 is an abundant number, since it is smaller than the sum of its proper divisors (24554396160).

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

6766784640 is a wasteful number, since it uses less digits than its factorization.

6766784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The square root of 6766784640 is about 82260.4682700020. The cubic root of 6766784640 is about 1891.4467464736.

The spelling of 6766784640 in words is "six billion, seven hundred sixty-six million, seven hundred eighty-four thousand, six hundred forty".