1768942573632 has 224 divisors, whose sum is σ = 5654771682560. Its totient is φ = 539004948480.

The previous prime is 1768942573597. The next prime is 1768942573669. The reversal of 1768942573632 is 2363752498671.

It is a happy number.

1768942573632 is a `hidden beast` number, since 1 + 7 + 6 + 89 + 425 + 73 + 63 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1768942573632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1931532 + ... + 2696052.

It is an arithmetic number, because the mean of its divisors is an integer number (25244516440).

Almost surely, 2^{1768942573632} is an apocalyptic number.

1768942573632 is a gapful number since it is divisible by the number (12) 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 1768942573632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827385841280).

1768942573632 is an abundant number, since it is smaller than the sum of its proper divisors (3885829108928).

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

1768942573632 is a wasteful number, since it uses less digits than its factorization.

1768942573632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764658 (or 764642 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 1768942573632 in words is "one trillion, seven hundred sixty-eight billion, nine hundred forty-two million, five hundred seventy-three thousand, six hundred thirty-two".