6766405236 has 72 divisors (see below), whose sum is σ = 18140338944. Its totient is φ = 2122021440.

The previous prime is 6766405201. The next prime is 6766405249. The reversal of 6766405236 is 6325046676.

6766405236 is a `hidden beast` number, since 6 + 7 + 6 + 6 + 405 + 236 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6766405191 and 6766405200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16476 + ... + 117491.

It is an arithmetic number, because the mean of its divisors is an integer number (251949152).

Almost surely, 2^6766405236 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 6766405236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9070169472).

6766405236 is an abundant number, since it is smaller than the sum of its proper divisors (11373933708).

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

6766405236 is a wasteful number, since it uses less digits than its factorization.

6766405236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134061 (or 134056 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 6766405236 is about 82258.1621238890. The cubic root of 6766405236 is about 1891.4113955690.

The spelling of 6766405236 in words is "six billion, seven hundred sixty-six million, four hundred five thousand, two hundred thirty-six".