1868665455360 has 1728 divisors, whose sum is σ = 7946777664000. Its totient is φ = 413857382400.

The previous prime is 1868665455359. The next prime is 1868665455361. The reversal of 1868665455360 is 635545668681.

1868665455360 is a `hidden beast` number, since 1 + 8 + 6 + 86 + 6 + 545 + 5 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1868665455359) and next prime (1868665455361).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1868665455361) 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 191 ways as a sum of consecutive naturals, for example, 2304149355 + ... + 2304150165.

Almost surely, 2^{1868665455360} is an apocalyptic number.

1868665455360 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 1868665455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973388832000).

1868665455360 is an abundant number, since it is smaller than the sum of its proper divisors (6078112208640).

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

1868665455360 is a wasteful number, since it uses less digits than its factorization.

1868665455360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 1868665455360 in words is "one trillion, eight hundred sixty-eight billion, six hundred sixty-five million, four hundred fifty-five thousand, three hundred sixty".