6942771118080 has 1280 divisors, whose sum is σ = 28725250752000. Its totient is φ = 1577746169856.

The previous prime is 6942771118001. The next prime is 6942771118081. The reversal of 6942771118080 is 808111772496.

6942771118080 is a `hidden beast` number, since 69 + 427 + 7 + 1 + 1 + 1 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6942771118081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40131624874 + ... + 40131625046.

It is an arithmetic number, because the mean of its divisors is an integer number (22441602150).

Almost surely, 2^{6942771118080} is an apocalyptic number.

6942771118080 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 6942771118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362625376000).

6942771118080 is an abundant number, since it is smaller than the sum of its proper divisors (21782479633920).

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

6942771118080 is an frugal number, since it uses more digits than its factorization.

6942771118080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 6942771118080 in words is "six trillion, nine hundred forty-two billion, seven hundred seventy-one million, one hundred eighteen thousand, eighty".