67782574080 has 720 divisors, whose sum is σ = 269412471900. Its totient is φ = 15703474176.

The previous prime is 67782574073. The next prime is 67782574087. The reversal of 67782574080 is 8047528776.

It is a happy number.

67782574080 is a `hidden beast` number, since 67 + 7 + 8 + 2 + 574 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (67782574073) and next prime (67782574087).

It can be written as a sum of positive squares in 6 ways, for example, as 13988265984 + 53794308096 = 118272^2 + 231936^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (67782574087) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3987210232 + ... + 3987210248.

Almost surely, 2^67782574080 is an apocalyptic number.

67782574080 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 67782574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134706235950).

67782574080 is an abundant number, since it is smaller than the sum of its proper divisors (201629897820).

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

67782574080 is an equidigital number, since it uses as much as digits as its factorization.

67782574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 67782574080 in words is "sixty-seven billion, seven hundred eighty-two million, five hundred seventy-four thousand, eighty".