6766010000 has 50 divisors (see below), whose sum is σ = 16381211022. Its totient is φ = 2706400000.

The previous prime is 6766009927. The next prime is 6766010003. The reversal of 6766010000 is 106676.

It can be written as a sum of positive squares in 5 ways, for example, as 2874246544 + 3891763456 = 53612^2 + 62384^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (6766010003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 328301 + ... + 348300.

Almost surely, 2^6766010000 is an apocalyptic number.

It is an amenable number.

6766010000 is an abundant number, since it is smaller than the sum of its proper divisors (9615201022).

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

6766010000 is an equidigital number, since it uses as much as digits as its factorization.

6766010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676629 (or 676608 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 6766010000 is about 82255.7596767546. The cubic root of 6766010000 is about 1891.3745681151.

Adding to 6766010000 its reverse (106676), we get a palindrome (6766116676).

The spelling of 6766010000 in words is "six billion, seven hundred sixty-six million, ten thousand".