1366583680 has 192 divisors, whose sum is σ = 4105614240. Its totient is φ = 425779200.

The previous prime is 1366583653. The next prime is 1366583707. The reversal of 1366583680 is 863856631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1366583653) and next prime (1366583707).

It is a self number, because there is not a number n which added to its sum of digits gives 1366583680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540820 + ... + 543340.

Almost surely, 2^1366583680 is an apocalyptic number.

1366583680 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 1366583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052807120).

1366583680 is an abundant number, since it is smaller than the sum of its proper divisors (2739030560).

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

1366583680 is a wasteful number, since it uses less digits than its factorization.

1366583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 1366583680 is about 36967.3326059644. The cubic root of 1366583680 is about 1109.7165848398.

The spelling of 1366583680 in words is "one billion, three hundred sixty-six million, five hundred eighty-three thousand, six hundred eighty".