1868568486400 has 240 divisors, whose sum is σ = 5771877629760. Its totient is φ = 582410649600.

The previous prime is 1868568486391. The next prime is 1868568486401. The reversal of 1868568486400 is 46848658681.

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

It is not an unprimeable number, because it can be changed into a prime (1868568486401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 37666 + ... + 1933534.

It is an arithmetic number, because the mean of its divisors is an integer number (24049490124).

Almost surely, 2^{1868568486400} is an apocalyptic number.

1868568486400 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 1868568486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885938814880).

1868568486400 is an abundant number, since it is smaller than the sum of its proper divisors (3903309143360).

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

1868568486400 is a wasteful number, since it uses less digits than its factorization.

1868568486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895915 (or 1895894 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 64.

The spelling of 1868568486400 in words is "one trillion, eight hundred sixty-eight billion, five hundred sixty-eight million, four hundred eighty-six thousand, four hundred".