8271661440 has 512 divisors, whose sum is σ = 32720163840. Its totient is φ = 1734082560.

The previous prime is 8271661403. The next prime is 8271661441. The reversal of 8271661440 is 441661728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8271661441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9367239 + ... + 9368121.

It is an arithmetic number, because the mean of its divisors is an integer number (63906570).

Almost surely, 2^8271661440 is an apocalyptic number.

8271661440 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 8271661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16360081920).

8271661440 is an abundant number, since it is smaller than the sum of its proper divisors (24448502400).

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

8271661440 is a wasteful number, since it uses less digits than its factorization.

8271661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 8271661440 is about 90948.6747567000. The cubic root of 8271661440 is about 2022.3869310130.

The spelling of 8271661440 in words is "eight billion, two hundred seventy-one million, six hundred sixty-one thousand, four hundred forty".