1730416774368 has 96 divisors (see below), whose sum is σ = 4783561574400. Its totient is φ = 546202054656.

The previous prime is 1730416774363. The next prime is 1730416774369. The reversal of 1730416774368 is 8634776140371.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1730416774363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3872080 + ... + 4295792.

It is an arithmetic number, because the mean of its divisors is an integer number (49828766400).

Almost surely, 2^{1730416774368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1730416774368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391780787200).

1730416774368 is an abundant number, since it is smaller than the sum of its proper divisors (3053144800032).

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

1730416774368 is a wasteful number, since it uses less digits than its factorization.

1730416774368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425984 (or 425976 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 57.

The spelling of 1730416774368 in words is "one trillion, seven hundred thirty billion, four hundred sixteen million, seven hundred seventy-four thousand, three hundred sixty-eight".