8271985680 has 400 divisors, whose sum is σ = 33605599104. Its totient is φ = 1846333440.

The previous prime is 8271985663. The next prime is 8271985717. The reversal of 8271985680 is 865891728.

8271985680 is a `hidden beast` number, since 8 + 2 + 71 + 9 + 8 + 568 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 1948360 + ... + 1952600.

Almost surely, 2^8271985680 is an apocalyptic number.

8271985680 is a gapful number since it is divisible by the number (80) 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 8271985680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16802799552).

8271985680 is an abundant number, since it is smaller than the sum of its proper divisors (25333613424).

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

8271985680 is a wasteful number, since it uses less digits than its factorization.

8271985680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 8271985680 is about 90950.4572830725. The cubic root of 8271985680 is about 2022.4133557797.

The spelling of 8271985680 in words is "eight billion, two hundred seventy-one million, nine hundred eighty-five thousand, six hundred eighty".