1369406263680 has 768 divisors, whose sum is σ = 5827183165440. Its totient is φ = 288572129280.

The previous prime is 1369406263679. The next prime is 1369406263697. The reversal of 1369406263680 is 863626049631.

1369406263680 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 4 + 0 + 626 + 3 + 6 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 823454529 + ... + 823456191.

It is an arithmetic number, because the mean of its divisors is an integer number (7587478080).

Almost surely, 2^{1369406263680} is an apocalyptic number.

1369406263680 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 1369406263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913591582720).

1369406263680 is an abundant number, since it is smaller than the sum of its proper divisors (4457776901760).

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

1369406263680 is a wasteful number, since it uses less digits than its factorization.

1369406263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 1369406263680 in words is "one trillion, three hundred sixty-nine billion, four hundred six million, two hundred sixty-three thousand, six hundred eighty".