1673327006208 has 1920 divisors, whose sum is σ = 6469943040000. Its totient is φ = 421302435840.

The previous prime is 1673327006167. The next prime is 1673327006233. The reversal of 1673327006208 is 8026007233761.

1673327006208 is a `hidden beast` number, since 16 + 7 + 3 + 3 + 2 + 7 + 0 + 0 + 620 + 8 = 666.

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, 11230382518 + ... + 11230382666.

It is an arithmetic number, because the mean of its divisors is an integer number (3369762000).

Almost surely, 2^{1673327006208} is an apocalyptic number.

1673327006208 is a gapful number since it is divisible by the number (18) 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 1673327006208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234971520000).

1673327006208 is an abundant number, since it is smaller than the sum of its proper divisors (4796616033792).

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

1673327006208 is a wasteful number, since it uses less digits than its factorization.

1673327006208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 1673327006208 in words is "one trillion, six hundred seventy-three billion, three hundred twenty-seven million, six thousand, two hundred eight".