1785428689408 has 640 divisors, whose sum is σ = 4788818496000. Its totient is φ = 658488950784.

The previous prime is 1785428689351. The next prime is 1785428689411. The reversal of 1785428689408 is 8049868245871.

It is a super-2 number, since 2×1785428689408² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6947193216 + ... + 6947193472.

It is an arithmetic number, because the mean of its divisors is an integer number (7482528900).

Almost surely, 2^{1785428689408} 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 1785428689408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394409248000).

1785428689408 is an abundant number, since it is smaller than the sum of its proper divisors (3003389806592).

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

1785428689408 is a wasteful number, since it uses less digits than its factorization.

1785428689408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 70.

The spelling of 1785428689408 in words is "one trillion, seven hundred eighty-five billion, four hundred twenty-eight million, six hundred eighty-nine thousand, four hundred eight".