8006419558644 has 48 divisors (see below), whose sum is σ = 20127160135488. Its totient is φ = 2462477200128.

The previous prime is 8006419558633. The next prime is 8006419558649. The reversal of 8006419558644 is 4468559146008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006419558649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10424982 + ... + 11166605.

It is an arithmetic number, because the mean of its divisors is an integer number (419315836156).

Almost surely, 2^{8006419558644} is an apocalyptic number.

It is an amenable number.

8006419558644 is an abundant number, since it is smaller than the sum of its proper divisors (12120740576844).

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

8006419558644 is a wasteful number, since it uses less digits than its factorization.

8006419558644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21593984 (or 21593982 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 8006419558644 in words is "eight trillion, six billion, four hundred nineteen million, five hundred fifty-eight thousand, six hundred forty-four".