6779511648 has 576 divisors, whose sum is σ = 25596910080. Its totient is φ = 1699771392.

The previous prime is 6779511631. The next prime is 6779511649. The reversal of 6779511648 is 8461159776.

6779511648 is a `hidden beast` number, since 67 + 7 + 9 + 511 + 64 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6779511594 and 6779511603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6779511649) 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 95 ways as a sum of consecutive naturals, for example, 41592015 + ... + 41592177.

It is an arithmetic number, because the mean of its divisors is an integer number (44439080).

Almost surely, 2^6779511648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6779511648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12798455040).

6779511648 is an abundant number, since it is smaller than the sum of its proper divisors (18817398432).

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

6779511648 is a wasteful number, since it uses less digits than its factorization.

6779511648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 211 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 6779511648 is about 82337.7899144737. The cubic root of 6779511648 is about 1892.6318185095.

The spelling of 6779511648 in words is "six billion, seven hundred seventy-nine million, five hundred eleven thousand, six hundred forty-eight".