1068303427800 has 768 divisors, whose sum is σ = 4078405632000. Its totient is φ = 225919549440.

The previous prime is 1068303427799. The next prime is 1068303427837. The reversal of 1068303427800 is 87243038601.

It is a super-2 number, since 2×1068303427800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 611506527 + ... + 611508273.

It is an arithmetic number, because the mean of its divisors is an integer number (5310424000).

Almost surely, 2^{1068303427800} is an apocalyptic number.

1068303427800 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 1068303427800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039202816000).

1068303427800 is an abundant number, since it is smaller than the sum of its proper divisors (3010102204200).

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

1068303427800 is a wasteful number, since it uses less digits than its factorization.

1068303427800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 1068303427800 in words is "one trillion, sixty-eight billion, three hundred three million, four hundred twenty-seven thousand, eight hundred".