1768131072 has 320 divisors, whose sum is σ = 5609640960. Its totient is φ = 548646912.

The previous prime is 1768131047. The next prime is 1768131077. The reversal of 1768131072 is 2701318671.

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

It is not an unprimeable number, because it can be changed into a prime (1768131077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21302743 + ... + 21302825.

It is an arithmetic number, because the mean of its divisors is an integer number (17530128).

Almost surely, 2^1768131072 is an apocalyptic number.

1768131072 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 1768131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804820480).

1768131072 is an abundant number, since it is smaller than the sum of its proper divisors (3841509888).

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

1768131072 is an equidigital number, since it uses as much as digits as its factorization.

1768131072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1768131072 is about 42049.1506691871. The cubic root of 1768131072 is about 1209.2185998336.

The spelling of 1768131072 in words is "one billion, seven hundred sixty-eight million, one hundred thirty-one thousand, seventy-two".