8219627439104 has 176 divisors, whose sum is σ = 17225987240448. Its totient is φ = 3912753512448.

The previous prime is 8219627439083. The next prime is 8219627439197. The reversal of 8219627439104 is 4019347269128.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8219627439104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7452064217 + ... + 7452065319.

Almost surely, 2^{8219627439104} 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 8219627439104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8612993620224).

8219627439104 is an abundant number, since it is smaller than the sum of its proper divisors (9006359801344).

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

8219627439104 is a wasteful number, since it uses less digits than its factorization.

8219627439104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 56.

The spelling of 8219627439104 in words is "eight trillion, two hundred nineteen billion, six hundred twenty-seven million, four hundred thirty-nine thousand, one hundred four".