1366004867760 has 960 divisors, whose sum is σ = 5509036684800. Its totient is φ = 309882433536.

The previous prime is 1366004867671. The next prime is 1366004867783. The reversal of 1366004867760 is 677684006631.

1366004867760 is a `hidden beast` number, since 1 + 36 + 6 + 0 + 0 + 486 + 77 + 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 = 1366004867697 and 1366004867706.

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 191 ways as a sum of consecutive naturals, for example, 256620459 + ... + 256625781.

It is an arithmetic number, because the mean of its divisors is an integer number (5738579880).

Almost surely, 2^{1366004867760} is an apocalyptic number.

1366004867760 is a gapful number since it is divisible by the number (10) 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 1366004867760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754518342400).

1366004867760 is an abundant number, since it is smaller than the sum of its proper divisors (4143031817040).

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

1366004867760 is a wasteful number, since it uses less digits than its factorization.

1366004867760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5427 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 1366004867760 in words is "one trillion, three hundred sixty-six billion, four million, eight hundred sixty-seven thousand, seven hundred sixty".