1730006327616 has 336 divisors, whose sum is σ = 5404614235200. Its totient is φ = 486904061952.

The previous prime is 1730006327579. The next prime is 1730006327627. The reversal of 1730006327616 is 6167236000371.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×1730006327616³ (a number of 38 digits) contains 333 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 47 ways as a sum of consecutive naturals, for example, 231931695 + ... + 231939153.

Almost surely, 2^{1730006327616} is an apocalyptic number.

1730006327616 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 1730006327616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702307117600).

1730006327616 is an abundant number, since it is smaller than the sum of its proper divisors (3674607907584).

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

1730006327616 is a wasteful number, since it uses less digits than its factorization.

1730006327616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7854 (or 7837 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 1730006327616 in words is "one trillion, seven hundred thirty billion, six million, three hundred twenty-seven thousand, six hundred sixteen".