6782336064 has 392 divisors, whose sum is σ = 24297477440. Its totient is φ = 1834140672.

The previous prime is 6782336063. The next prime is 6782336107. The reversal of 6782336064 is 4606332876.

6782336064 is a `hidden beast` number, since 6 + 7 + 8 + 2 + 33 + 606 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (6782336063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6204702 + ... + 6205794.

Almost surely, 2^6782336064 is an apocalyptic number.

6782336064 is a gapful number since it is divisible by the number (64) 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 6782336064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12148738720).

6782336064 is an abundant number, since it is smaller than the sum of its proper divisors (17515141376).

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

6782336064 is a wasteful number, since it uses less digits than its factorization.

6782336064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 6782336064 is about 82354.9395239897. The cubic root of 6782336064 is about 1892.8946121392.

The spelling of 6782336064 in words is "six billion, seven hundred eighty-two million, three hundred thirty-six thousand, sixty-four".