8005424373632 has 512 divisors, whose sum is σ = 20725238016000. Its totient is φ = 2997832384512.

The previous prime is 8005424373631. The next prime is 8005424373637. The reversal of 8005424373632 is 2363734245008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005424373631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3528171794 + ... + 3528174062.

It is an arithmetic number, because the mean of its divisors is an integer number (40478980500).

Almost surely, 2^{8005424373632} 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 8005424373632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10362619008000).

8005424373632 is an abundant number, since it is smaller than the sum of its proper divisors (12719813642368).

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

8005424373632 is a wasteful number, since it uses less digits than its factorization.

8005424373632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 47.

The spelling of 8005424373632 in words is "eight trillion, five billion, four hundred twenty-four million, three hundred seventy-three thousand, six hundred thirty-two".