1768375056 has 120 divisors (see below), whose sum is σ = 5458331200. Its totient is φ = 483234048.

The previous prime is 1768375001. The next prime is 1768375121. The reversal of 1768375056 is 6505738671.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1768374996 and 1768375014.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 172770 + ... + 182718.

Almost surely, 2^1768375056 is an apocalyptic number.

1768375056 is a gapful number since it is divisible by the number (16) 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 1768375056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729165600).

1768375056 is an abundant number, since it is smaller than the sum of its proper divisors (3689956144).

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

1768375056 is a wasteful number, since it uses less digits than its factorization.

1768375056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10013 (or 9984 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The square root of 1768375056 is about 42052.0517454262. The cubic root of 1768375056 is about 1209.2742172076.

The spelling of 1768375056 in words is "one billion, seven hundred sixty-eight million, three hundred seventy-five thousand, fifty-six".