6782014080 has 96 divisors (see below), whose sum is σ = 23419162260. Its totient is φ = 1808535552.

The previous prime is 6782014067. The next prime is 6782014081. The reversal of 6782014080 is 804102876.

It can be written as a sum of positive squares in 2 ways, for example, as 5975908416 + 806105664 = 77304^2 + 28392^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6782014081) 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 11 ways as a sum of consecutive naturals, for example, 582957 + ... + 594476.

Almost surely, 2^6782014080 is an apocalyptic number.

6782014080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6782014080 is an abundant number, since it is smaller than the sum of its proper divisors (16637148180).

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

6782014080 is a wasteful number, since it uses less digits than its factorization.

6782014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177458 (or 1177443 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 6782014080 is about 82352.9846453667. The cubic root of 6782014080 is about 1892.8646572968.

The spelling of 6782014080 in words is "six billion, seven hundred eighty-two million, fourteen thousand, eighty".