6777408726 has 64 divisors (see below), whose sum is σ = 16458024960. Its totient is φ = 2050267680.

The previous prime is 6777408709. The next prime is 6777408749. The reversal of 6777408726 is 6278047776.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351160 + ... + 369956.

It is an arithmetic number, because the mean of its divisors is an integer number (257156640).

Almost surely, 2^6777408726 is an apocalyptic number.

6777408726 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6777408726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8229012480).

6777408726 is an abundant number, since it is smaller than the sum of its proper divisors (9680616234).

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

6777408726 is a wasteful number, since it uses less digits than its factorization.

6777408726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19426 (or 19420 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The square root of 6777408726 is about 82325.0188338879. The cubic root of 6777408726 is about 1892.4361078208.

The spelling of 6777408726 in words is "six billion, seven hundred seventy-seven million, four hundred eight thousand, seven hundred twenty-six".