6714542096640 has 1980 divisors, whose sum is σ = 28904816098284. Its totient is φ = 1493272682496.

The previous prime is 6714542096617. The next prime is 6714542096693. The reversal of 6714542096640 is 466902454176.

6714542096640 is a `hidden beast` number, since 6 + 7 + 1 + 4 + 542 + 0 + 96 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4391673479424 + 2322868617216 = 2095632^2 + 1524096^2 .

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 27972 × 26460 × 9072.

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 219 ways as a sum of consecutive naturals, for example, 181474110702 + ... + 181474110738.

Almost surely, 2^{6714542096640} is an apocalyptic number.

6714542096640 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 6714542096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14452408049142).

6714542096640 is an abundant number, since it is smaller than the sum of its proper divisors (22190274001644).

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

6714542096640 is an frugal number, since it uses more digits than its factorization.

6714542096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 6714542096640 in words is "six trillion, seven hundred fourteen billion, five hundred forty-two million, ninety-six thousand, six hundred forty".