8067874720000 has 180 divisors, whose sum is σ = 20133740262636. Its totient is φ = 3225564160000.

The previous prime is 8067874719967. The next prime is 8067874720001. The reversal of 8067874720000 is 274787608.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 3779198208256 + 4288676511744 = 1944016^2 + 2070912^2 .

It is not an unprimeable number, because it can be changed into a prime (8067874720001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 357908730 + ... + 357931270.

Almost surely, 2^{8067874720000} is an apocalyptic number.

8067874720000 is a gapful number since it is divisible by the number (80) 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 8067874720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10066870131318).

8067874720000 is an abundant number, since it is smaller than the sum of its proper divisors (12065865542636).

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

8067874720000 is an equidigital number, since it uses as much as digits as its factorization.

8067874720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24814 (or 24785 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 49.

The spelling of 8067874720000 in words is "eight trillion, sixty-seven billion, eight hundred seventy-four million, seven hundred twenty thousand".