2766680064 has 260 divisors, whose sum is σ = 8563199040. Its totient is φ = 889159680.

The previous prime is 2766680057. The next prime is 2766680101. The reversal of 2766680064 is 4600866672.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10284922 + ... + 10285190.

Almost surely, 2^2766680064 is an apocalyptic number.

2766680064 is a gapful number since it is divisible by the number (24) 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 2766680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281599520).

2766680064 is an abundant number, since it is smaller than the sum of its proper divisors (5796518976).

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

2766680064 is an equidigital number, since it uses as much as digits as its factorization.

2766680064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2766680064 is about 52599.2401466029. The cubic root of 2766680064 is about 1403.8465753891.

The spelling of 2766680064 in words is "two billion, seven hundred sixty-six million, six hundred eighty thousand, sixty-four".