8031982656 has 224 divisors, whose sum is σ = 23559040512. Its totient is φ = 2404188160.

The previous prime is 8031982627. The next prime is 8031982769. The reversal of 8031982656 is 6562891308.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6289090 + ... + 6290366.

It is an arithmetic number, because the mean of its divisors is an integer number (105174288).

Almost surely, 2^8031982656 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 8031982656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11779520256).

8031982656 is an abundant number, since it is smaller than the sum of its proper divisors (15527057856).

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

8031982656 is a wasteful number, since it uses less digits than its factorization.

8031982656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 8031982656 is about 89621.3292470046. The cubic root of 8031982656 is about 2002.6616774984.

The spelling of 8031982656 in words is "eight billion, thirty-one million, nine hundred eighty-two thousand, six hundred fifty-six".