6777667776 has 112 divisors (see below), whose sum is σ = 19620390528. Its totient is φ = 2047795200.

The previous prime is 6777667769. The next prime is 6777667837.

6777667776 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 740991 + ... + 750081.

Almost surely, 2^6777667776 is an apocalyptic number.

6777667776 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 6777667776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9810195264).

6777667776 is an abundant number, since it is smaller than the sum of its proper divisors (12842722752).

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

6777667776 is a wasteful number, since it uses less digits than its factorization.

6777667776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9470 (or 9460 counting only the distinct ones).

The product of its digits is 152473104, while the sum is 66.

The square root of 6777667776 is about 82326.5921558763. The cubic root of 6777667776 is about 1892.4602187727.

The spelling of 6777667776 in words is "six billion, seven hundred seventy-seven million, six hundred sixty-seven thousand, seven hundred seventy-six".