1790842768000 has 256 divisors, whose sum is σ = 5230895604480. Its totient is φ = 601121280000.

The previous prime is 1790842767997. The next prime is 1790842768003. The reversal of 1790842768000 is 8672480971.

It is an interprime number because it is at equal distance from previous prime (1790842767997) and next prime (1790842768003).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (1790842768003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1896645 + ... + 2679355.

It is an arithmetic number, because the mean of its divisors is an integer number (20433185955).

Almost surely, 2^{1790842768000} is an apocalyptic number.

1790842768000 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 1790842768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615447802240).

1790842768000 is an abundant number, since it is smaller than the sum of its proper divisors (3440052836480).

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

1790842768000 is a wasteful number, since it uses less digits than its factorization.

1790842768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782764 (or 782742 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 1790842768000 in words is "one trillion, seven hundred ninety billion, eight hundred forty-two million, seven hundred sixty-eight thousand".