1866663360 has 448 divisors, whose sum is σ = 7066483200. Its totient is φ = 462495744.

The previous prime is 1866663353. The next prime is 1866663367. The reversal of 1866663360 is 633666681.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1866663353) and next prime (1866663367).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1866663367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13625212 + ... + 13625348.

It is an arithmetic number, because the mean of its divisors is an integer number (15773400).

Almost surely, 2^1866663360 is an apocalyptic number.

1866663360 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 1866663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533241600).

1866663360 is an abundant number, since it is smaller than the sum of its proper divisors (5199819840).

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

1866663360 is a wasteful number, since it uses less digits than its factorization.

1866663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 1866663360 is about 43204.8997221380. The cubic root of 1866663360 is about 1231.2757732587.

The spelling of 1866663360 in words is "one billion, eight hundred sixty-six million, six hundred sixty-three thousand, three hundred sixty".