1797782700960 has 1008 divisors, whose sum is σ = 6688677357432. Its totient is φ = 456238448640.

The previous prime is 1797782700949. The next prime is 1797782701007. The reversal of 1797782700960 is 690072877971.

It can be written as a sum of positive squares in 12 ways, for example, as 22503600144 + 1775279100816 = 150012^2 + 1332396^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 10391807434 + ... + 10391807606.

Almost surely, 2^{1797782700960} is an apocalyptic number.

1797782700960 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 1797782700960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344338678716).

1797782700960 is an abundant number, since it is smaller than the sum of its proper divisors (4890894656472).

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

1797782700960 is an equidigital number, since it uses as much as digits as its factorization.

1797782700960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 18670176, while the sum is 63.

The spelling of 1797782700960 in words is "one trillion, seven hundred ninety-seven billion, seven hundred eighty-two million, seven hundred thousand, nine hundred sixty".