1868367801664 has 896 divisors, whose sum is σ = 5145674240000. Its totient is φ = 666310385664.

The previous prime is 1868367801577. The next prime is 1868367801691. The reversal of 1868367801664 is 4661087638681.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 1868367801596 and 1868367801605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13441494907 + ... + 13441495045.

It is an arithmetic number, because the mean of its divisors is an integer number (5742940000).

Almost surely, 2^{1868367801664} is an apocalyptic number.

1868367801664 is a gapful number since it is divisible by the number (14) 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 1868367801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572837120000).

1868367801664 is an abundant number, since it is smaller than the sum of its proper divisors (3277306438336).

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

1868367801664 is a wasteful number, since it uses less digits than its factorization.

1868367801664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 64.

The spelling of 1868367801664 in words is "one trillion, eight hundred sixty-eight billion, three hundred sixty-seven million, eight hundred one thousand, six hundred sixty-four".