1678230381600 has 360 divisors, whose sum is σ = 6164885336148. Its totient is φ = 444259123200.

The previous prime is 1678230381577. The next prime is 1678230381683. The reversal of 1678230381600 is 61830328761.

1678230381600 is a `hidden beast` number, since 1 + 6 + 7 + 8 + 2 + 3 + 0 + 38 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 263205937296 + 1415024444304 = 513036^2 + 1189548^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8783080 + ... + 8972120.

Almost surely, 2^{1678230381600} is an apocalyptic number.

1678230381600 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 1678230381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082442668074).

1678230381600 is an abundant number, since it is smaller than the sum of its proper divisors (4486654954548).

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

1678230381600 is a wasteful number, since it uses less digits than its factorization.

1678230381600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189210 (or 189188 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1678230381600 in words is "one trillion, six hundred seventy-eight billion, two hundred thirty million, three hundred eighty-one thousand, six hundred".