1768041360 has 240 divisors, whose sum is σ = 6153074928. Its totient is φ = 454656000.

The previous prime is 1768041343. The next prime is 1768041391. The reversal of 1768041360 is 631408671.

1768041360 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7056 + 1768034304 = 84^2 + 42048^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 2981224 + ... + 2981816.

Almost surely, 2^1768041360 is an apocalyptic number.

1768041360 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 1768041360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076537464).

1768041360 is an abundant number, since it is smaller than the sum of its proper divisors (4385033568).

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

1768041360 is a wasteful number, since it uses less digits than its factorization.

1768041360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1768041360 is about 42048.0839040259. The cubic root of 1768041360 is about 1209.1981482476.

The spelling of 1768041360 in words is "one billion, seven hundred sixty-eight million, forty-one thousand, three hundred sixty".