1778405959680 has 384 divisors, whose sum is σ = 6529691750400. Its totient is φ = 404780285952.

The previous prime is 1778405959639. The next prime is 1778405959741. The reversal of 1778405959680 is 869595048771.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51377259 + ... + 51411861.

It is an arithmetic number, because the mean of its divisors is an integer number (17004405600).

Almost surely, 2^{1778405959680} is an apocalyptic number.

1778405959680 is a gapful number since it is divisible by the number (10) 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 1778405959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264845875200).

1778405959680 is an abundant number, since it is smaller than the sum of its proper divisors (4751285790720).

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

1778405959680 is a wasteful number, since it uses less digits than its factorization.

1778405959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34879 (or 34859 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 69.

The spelling of 1778405959680 in words is "one trillion, seven hundred seventy-eight billion, four hundred five million, nine hundred fifty-nine thousand, six hundred eighty".