6766721940 has 192 divisors, whose sum is σ = 21985367040. Its totient is φ = 1537781760.

The previous prime is 6766721893. The next prime is 6766721963. The reversal of 6766721940 is 491276676.

It is a self number, because there is not a number n which added to its sum of digits gives 6766721940.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1213599 + ... + 1219161.

It is an arithmetic number, because the mean of its divisors is an integer number (114507120).

Almost surely, 2^6766721940 is an apocalyptic number.

6766721940 is a gapful number since it is divisible by the number (60) 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 6766721940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10992683520).

6766721940 is an abundant number, since it is smaller than the sum of its proper divisors (15218645100).

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

6766721940 is a wasteful number, since it uses less digits than its factorization.

6766721940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5702 (or 5700 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 6766721940 is about 82260.0871626088. The cubic root of 6766721940 is about 1891.4409045026.

The spelling of 6766721940 in words is "six billion, seven hundred sixty-six million, seven hundred twenty-one thousand, nine hundred forty".