8067421625760 has 576 divisors, whose sum is σ = 33390949842432. Its totient is φ = 1731488514048.

The previous prime is 8067421625749. The next prime is 8067421625761. The reversal of 8067421625760 is 675261247608.

It is a happy number.

8067421625760 is a `hidden beast` number, since 8 + 0 + 6 + 7 + 4 + 2 + 1 + 62 + 576 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8067421625697 and 8067421625706.

It is not an unprimeable number, because it can be changed into a prime (8067421625761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74144517 + ... + 74253243.

It is an arithmetic number, because the mean of its divisors is an integer number (57970399032).

Almost surely, 2^{8067421625760} is an apocalyptic number.

8067421625760 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 8067421625760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16695474921216).

8067421625760 is an abundant number, since it is smaller than the sum of its proper divisors (25323528216672).

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

8067421625760 is a wasteful number, since it uses less digits than its factorization.

8067421625760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109205 (or 109194 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 8067421625760 in words is "eight trillion, sixty-seven billion, four hundred twenty-one million, six hundred twenty-five thousand, seven hundred sixty".