6777836736 has 224 divisors, whose sum is σ = 20114459136. Its totient is φ = 1996800000.

The previous prime is 6777836717. The next prime is 6777836753. The reversal of 6777836736 is 6376387776.

It is a happy number.

It is a super-2 number, since 2×6777836736² = 91878141639742267392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6777836736.

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 31 ways as a sum of consecutive naturals, for example, 16902136 + ... + 16902536.

Almost surely, 2^6777836736 is an apocalyptic number.

6777836736 is a gapful number since it is divisible by the number (66) 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 6777836736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10057229568).

6777836736 is an abundant number, since it is smaller than the sum of its proper divisors (13336622400).

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

6777836736 is a wasteful number, since it uses less digits than its factorization.

6777836736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 621 counting only the distinct ones).

The product of its digits is 37340352, while the sum is 60.

The square root of 6777836736 is about 82327.6183063740. The cubic root of 6777836736 is about 1892.4759443109.

The spelling of 6777836736 in words is "six billion, seven hundred seventy-seven million, eight hundred thirty-six thousand, seven hundred thirty-six".