6766401042 has 64 divisors (see below), whose sum is σ = 15354144000. Its totient is φ = 2208311424.

The previous prime is 6766401029. The next prime is 6766401071. The reversal of 6766401042 is 2401046676.

6766401042 is a `hidden beast` number, since 6 + 7 + 6 + 640 + 1 + 0 + 4 + 2 = 666.

It is a super-2 number, since 2×6766401042² = 91568366122357371528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6766400988 and 6766401006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488184 + ... + 501852.

It is an arithmetic number, because the mean of its divisors is an integer number (239908500).

Almost surely, 2^6766401042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6766401042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7677072000).

6766401042 is an abundant number, since it is smaller than the sum of its proper divisors (8587742958).

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

6766401042 is a wasteful number, since it uses less digits than its factorization.

6766401042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13872 (or 13866 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6766401042 is about 82258.1366309741. The cubic root of 6766401042 is about 1891.4110047864.

The spelling of 6766401042 in words is "six billion, seven hundred sixty-six million, four hundred one thousand, forty-two".