6767999968770 has 160 divisors (see below), whose sum is σ = 18646202559600. Its totient is φ = 1760408432640.

The previous prime is 6767999968733. The next prime is 6767999968777. The reversal of 6767999968770 is 778699997676.

It can be written as a sum of positive squares in 8 ways, for example, as 1981920549249 + 4786079419521 = 1407807^2 + 2187711^2 .

It is a Harshad number since it is a multiple of its sum of digits (90).

It is not an unprimeable number, because it can be changed into a prime (6767999968777) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 179746906 + ... + 179784554.

Almost surely, 2^{6767999968770} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6767999968770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9323101279800).

6767999968770 is an abundant number, since it is smaller than the sum of its proper divisors (11878202590830).

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

6767999968770 is a wasteful number, since it uses less digits than its factorization.

6767999968770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43122 (or 43113 counting only the distinct ones).

The product of its (nonzero) digits is 27221116608, while the sum is 90.

The spelling of 6767999968770 in words is "six trillion, seven hundred sixty-seven billion, nine hundred ninety-nine million, nine hundred sixty-eight thousand, seven hundred seventy".