6740741367360 has 5376 divisors, whose sum is σ = 35960165498880. Its totient is φ = 1143751311360.

The previous prime is 6740741367359. The next prime is 6740741367391. The reversal of 6740741367360 is 637631470476.

6740741367360 is a `hidden beast` number, since 67 + 40 + 7 + 413 + 6 + 73 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6740741367297 and 6740741367306.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 53076703617 + ... + 53076703743.

It is an arithmetic number, because the mean of its divisors is an integer number (6689018880).

Almost surely, 2^{6740741367360} is an apocalyptic number.

6740741367360 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 6740741367360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17980082749440).

6740741367360 is an abundant number, since it is smaller than the sum of its proper divisors (29219424131520).

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

6740741367360 is a wasteful number, since it uses less digits than its factorization.

6740741367360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 6740741367360 in words is "six trillion, seven hundred forty billion, seven hundred forty-one million, three hundred sixty-seven thousand, three hundred sixty".