8267971968 has 192 divisors, whose sum is σ = 24802989120. Its totient is φ = 2741506560.

The previous prime is 8267971919. The next prime is 8267971979. The reversal of 8267971968 is 8691797628.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7060023 + ... + 7061193.

It is an arithmetic number, because the mean of its divisors is an integer number (129182235).

Almost surely, 2^8267971968 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 8267971968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12401494560).

8267971968 is an abundant number, since it is smaller than the sum of its proper divisors (16535017152).

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

8267971968 is a wasteful number, since it uses less digits than its factorization.

8267971968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1403 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The square root of 8267971968 is about 90928.3892302069. The cubic root of 8267971968 is about 2022.0861994264.

The spelling of 8267971968 in words is "eight billion, two hundred sixty-seven million, nine hundred seventy-one thousand, nine hundred sixty-eight".