68028180480 has 672 divisors, whose sum is σ = 263931038280. Its totient is φ = 16721510400.

The previous prime is 68028180463. The next prime is 68028180497. The reversal of 68028180480 is 8408182086.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68028180463) and next prime (68028180497).

It can be written as a sum of positive squares in 4 ways, for example, as 54823412736 + 13204767744 = 234144^2 + 114912^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 97044130 + ... + 97044830.

Almost surely, 2^68028180480 is an apocalyptic number.

68028180480 is a gapful number since it is divisible by the number (60) 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 68028180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131965519140).

68028180480 is an abundant number, since it is smaller than the sum of its proper divisors (195902857800).

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

68028180480 is an equidigital number, since it uses as much as digits as its factorization.

68028180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

It can be divided in two parts, 680281 and 80480, that added together give a triangular number (760761 = T₁₂₃₃).

The spelling of 68028180480 in words is "sixty-eight billion, twenty-eight million, one hundred eighty thousand, four hundred eighty".