1363903680 has 224 divisors, whose sum is σ = 4555321344. Its totient is φ = 345083904.

The previous prime is 1363903661. The next prime is 1363903699. The reversal of 1363903680 is 863093631.

It is an interprime number because it is at equal distance from previous prime (1363903661) and next prime (1363903699).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4923702 + ... + 4923978.

It is an arithmetic number, because the mean of its divisors is an integer number (20336256).

Almost surely, 2^1363903680 is an apocalyptic number.

1363903680 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 1363903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277660672).

1363903680 is an abundant number, since it is smaller than the sum of its proper divisors (3191417664).

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

1363903680 is a wasteful number, since it uses less digits than its factorization.

1363903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 1363903680 is about 36931.0665971076. The cubic root of 1363903680 is about 1108.9906903491.

The spelling of 1363903680 in words is "one billion, three hundred sixty-three million, nine hundred three thousand, six hundred eighty".