6776776776 has 256 divisors, whose sum is σ = 22581504000. Its totient is φ = 1640632320.

The previous prime is 6776776697. The next prime is 6776776781.

6776776776 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3423355 + ... + 3425333.

It is an arithmetic number, because the mean of its divisors is an integer number (88209000).

Almost surely, 2^6776776776 is an apocalyptic number.

6776776776 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 6776776776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11290752000).

6776776776 is an abundant number, since it is smaller than the sum of its proper divisors (15804727224).

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

6776776776 is a wasteful number, since it uses less digits than its factorization.

6776776776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2128 counting only the distinct ones).

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

The square root of 6776776776 is about 82321.1806037790. The cubic root of 6776776776 is about 1892.3772868063.

The spelling of 6776776776 in words is "six billion, seven hundred seventy-six million, seven hundred seventy-six thousand, seven hundred seventy-six".