8006097323232 has 432 divisors, whose sum is σ = 24730154178912. Its totient is φ = 2454725191680.

The previous prime is 8006097323219. The next prime is 8006097323243. The reversal of 8006097323232 is 2323237906008.

8006097323232 is a `hidden beast` number, since 8 + 0 + 0 + 6 + 0 + 97 + 323 + 232 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2081125533 + ... + 2081129379.

It is an arithmetic number, because the mean of its divisors is an integer number (57245727266).

Almost surely, 2^{8006097323232} 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 8006097323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12365077089456).

8006097323232 is an abundant number, since it is smaller than the sum of its proper divisors (16724056855680).

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

8006097323232 is a wasteful number, since it uses less digits than its factorization.

8006097323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 8006097323232 in words is "eight trillion, six billion, ninety-seven million, three hundred twenty-three thousand, two hundred thirty-two".