1673329362816 has 256 divisors, whose sum is σ = 4765453056000. Its totient is φ = 518651983872.

The previous prime is 1673329362799. The next prime is 1673329362821. The reversal of 1673329362816 is 6182639233761.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312944655 + ... + 312950001.

It is an arithmetic number, because the mean of its divisors is an integer number (18615051000).

Almost surely, 2^{1673329362816} is an apocalyptic number.

1673329362816 is a gapful number since it is divisible by the number (16) 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 1673329362816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382726528000).

1673329362816 is an abundant number, since it is smaller than the sum of its proper divisors (3092123693184).

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

1673329362816 is a wasteful number, since it uses less digits than its factorization.

1673329362816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6169 (or 6157 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 57.

The spelling of 1673329362816 in words is "one trillion, six hundred seventy-three billion, three hundred twenty-nine million, three hundred sixty-two thousand, eight hundred sixteen".