8627420985408 has 336 divisors, whose sum is σ = 25082800963584. Its totient is φ = 2835018869760.

The previous prime is 8627420985401. The next prime is 8627420985461. The reversal of 8627420985408 is 8045890247268.

8627420985408 is a `hidden beast` number, since 8 + 62 + 7 + 4 + 20 + 9 + 8 + 540 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (8627420985401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14213213841 + ... + 14213214447.

It is an arithmetic number, because the mean of its divisors is an integer number (74651193344).

Almost surely, 2^{8627420985408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8627420985408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12541400481792).

8627420985408 is an abundant number, since it is smaller than the sum of its proper divisors (16455379978176).

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

8627420985408 is a wasteful number, since it uses less digits than its factorization.

8627420985408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 8627420985408 in words is "eight trillion, six hundred twenty-seven billion, four hundred twenty million, nine hundred eighty-five thousand, four hundred eight".