6777767248 has 80 divisors (see below), whose sum is σ = 16342704000. Its totient is φ = 2656958976.

The previous prime is 6777767237. The next prime is 6777767257. The reversal of 6777767248 is 8427677776.

It is a super-2 number, since 2×6777767248² = 91876257736122987008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6798 + ... + 116626.

It is an arithmetic number, because the mean of its divisors is an integer number (204283800).

Almost surely, 2^6777767248 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 6777767248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8171352000).

6777767248 is an abundant number, since it is smaller than the sum of its proper divisors (9564936752).

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

6777767248 is a wasteful number, since it uses less digits than its factorization.

6777767248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109892 (or 109886 counting only the distinct ones).

The product of its digits is 38723328, while the sum is 61.

The square root of 6777767248 is about 82327.1962840956. The cubic root of 6777767248 is about 1892.4694769171.

The spelling of 6777767248 in words is "six billion, seven hundred seventy-seven million, seven hundred sixty-seven thousand, two hundred forty-eight".