8271076968 has 384 divisors, whose sum is σ = 29440454400. Its totient is φ = 2105326080.

The previous prime is 8271076949. The next prime is 8271076991. The reversal of 8271076968 is 8696701728.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9696030 + ... + 9696882.

It is an arithmetic number, because the mean of its divisors is an integer number (76667850).

Almost surely, 2^8271076968 is an apocalyptic number.

8271076968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8271076968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14720227200).

8271076968 is an abundant number, since it is smaller than the sum of its proper divisors (21169377432).

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

8271076968 is a wasteful number, since it uses less digits than its factorization.

8271076968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 8271076968 is about 90945.4615030349. The cubic root of 8271076968 is about 2022.3392962307.

The spelling of 8271076968 in words is "eight billion, two hundred seventy-one million, seventy-six thousand, nine hundred sixty-eight".